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Undergraduate Course Syllabi

The syllabi posted here are intended to provide reasonably detailed descriptions of the indicated courses. These syllabi/course descriptions are targeted at external visitors who need the information summarized for determining the nature of the course. If you need a brief course description, visit our current courses page.

If you are a current student, access the syllabus for your course through your moodle account.

If you are an instructor, access the more detailed course syllabi through our math department "Math Dept Course Syllabi" page on moodle.

General education objectives, outcomes, and competencies

All of the 100 and 200 level mathematics, mathematical sciences, and statistics courses listed below, except math117, math217, and math317, can be used to satisfy the mathematics part of the general education course requirements for a bachelor's degree. The general education objectives, outcomes, and competencies which are common to these courses are:

  1. By the end of the course, the student should be able to use mathematical methods and models to solve quantitative problems and communicate solutions effectively.
  2. By the end of the course, the student should be able to analyze and critically evaluate numerical and graphical data to draw reasonable and valid conclusions about real-world solutions.

The course descriptions and syllabi provide information which indicates how these courses satisfy these objectives.

100 Level Math Courses

  1. math102 or mths102: Quantitative Reasoning
  2. math103/104: College Algebra This course is no longer offered.
  3. math105 or mths105: College Algebra
  4. math107: College Algebra And Quantitative Reasoning This course is no longer offered.
  5. math109 or mths109: Pre-Calculus Algebra
  6. math110: Pre-Calculus, Trigonometry and Function Theory
  7. math117: Number Sense for PK-8 Teachers
  8. math143: Pre-calculus Algebra and Trigonometry

200 Level Math and Stat Courses

  1. math206: Mathematics of Finance
  2. math210: Practical Mathematics
  3. math217: Geometry and Measurement for PK-8 Teachers
  4. math250: Survey of Calculus
  5. math270: Calculus I
  6. stat214: Elementary Statistics

300 Level Math and Stat Courses

  1. math301: Calculus II
  2. math302: Calculus III
  3. math317: Probability, Statistics, and Number Systems for PK-8 Teachers

Math 102: Quantitative Reasoning

Critical thinking and applications of mathematical concepts to real-world topics such as descriptive statistics, growth and decay models, and finance. Graphing calculator required. This course is designed for students in non-technical fields and may be used as a prerequisite for MATH 206, MATH 210 and STAT 214 only. Only one of MATH 100, MATH 102, MATH 103/104, MATH 105, MATH 107, MATH 109 or MATH 143 may be used for degree credit.

Prerequisites: Minimum ACT MATH score of 19 or SAT MATH score of 460, departmental exam, or Intermediate Algebra with a grade of C or better.

Text: Viewing Life Mathematically: A Pathway to Quantitative Literacy, by Kim Denley and Mike Hall, Hawkes Learning, 2020.

Online homework: Hawkes Learning is required as the online homework system and additional resources.

Calculator: A Graphing calculator required – TI 83/84 preferred.

Sections and Topics

  1. Chapter 1: Critical Thinking and Problem Solving: Understand mathematical reasoning, Distinguish between inductive and deductive reasoning,  Identify arithmetic and geometric sequences,  Understand Pólya’s problem-solving process, Apply problem-solving strategies,  Find estimates.
  2. Chapter 4: Rates, Ratios, Proportions, and Percentages: Write rates as fractions, Solve proportional equations, Calculate unit rates, Write and interpret ratios, Calculate proportions and percentages,  Identify and calculate percentage increase and percentage decrease, Identify and calculate percentage increase and percentage decrease.
  3. Chapter 5: The Mathematics of Growth: Demonstrate an understanding of functions, function notation, domain, and range, Demonstrate an understanding of linear functions and linear growth, Demonstrate an understanding of exponential functions and exponential growth, Model data with linear and exponential functions.
  4. Chapter 6: Geometry:  Demonstrate an understanding of points, lines, and planes, Apply the concepts of parallel and perpendicular, Explore the properties of polygons,  Demonstrate an understanding of sine, cosine, and tangent functions, Apply the concepts of similar triangles,  Demonstrate an understanding of angle measure, angle sum, and applications of angles, Apply the concepts of perimeter and area.
  5. Chapter 7: Probability: Calculate basic probabilities, Use the Fundamental Counting Principle to calculate probabilities, Calculate permutations and combinations, Use the addition rule of probability and the multiplication rule of probability, Calculate the expected value of an event.
  6. Chapter 8: Statistics: Calculate and appropriately use the linear regression line for a given set of data.
  7. Chapter 9: Personal Finance: Create a budget,  Calculate sales prices and discounts,  Calculate percentage increase/decrease,  Calculate simple interest,  Understand present value, Understand future value, Calculate compound interest, Understand savings plans,  Calculate annual percentage yield,  Calculate monthly payments, Calculate credit card payments.
  8. Chapter 11: The Arts: Understand the relationship between mathematics and art/architecture, Understand the use of geometry in art/architecture, Understand the use of sequences and series in art and music, Understand the use of the golden ratio, golden rectangles and triangles, and their use in art/architecture, Understand triangular and square numbers, Understand the use of regular polygons in creating tilings and tessellations, Understand how rotations, translations, and reflections are used in art and architecture, Understand how sound frequencies in music are used to tune a piano and their relationships in musical harmonies.
  9. Possible projects out of chapters 9-14

Last updated 5 July 2020

Math 103/104: College Algebra (5 hours)

Text: Applied College Algebra University of Louisiana Lafayette with Materials from Algebra: Form and Function, 2nd Edition, McCallum,Connally, and Hughes-Hallett, Wiley, 2015.

Note: Only one of MATH 102, MATH 103 and MATH 104, MATH 105, MATH 107, MATH 109, or MATH 143 may be used for degree credit.

Knewton Alta is required. A scientific calculator is required. A TI-83,TI-83 Plus, TI-84, or TI-84 Plus Graphics Calculator is recommended.

Objectives, Outcomes, and Competencies

By the end of the course, students should be able to:

  1. Use mathematical methods and models to solve quantitative problems and communicate solutions effectively.
  2. Analyze and critically evaluate numerical and graphical data to draw reasonable and valid conclusions about real-world solutions.

Sections and Topics

  1. Reordering and Regrouping
  2. The Distributive Law
  3. Use Operations to Solve Equations
  4. What is a Function
  5. Functions and Expressions
  6. Functions and Equations
  7. Functions and Change
  8. Functions and Change
  9. Functions, Modeling, and Proportionality
  10. Introduction to Linear Functions
  11. Linear Expressions
  12. Linear Equations
  13. Equations for Lines in the Plane
  14. Systems of Linear Equations: Graphing Systems
  15. Solving Quadratic Equations
  16. Quadratic Expressions
  17. Applications of Quadratic Functions
  18. Converting to Factored and Vertex Form
  19. Quadratic Equations: Square Root Property
  20. End Behavior of Polynomials – Handout, on Moodle
  21. Polynomial Functions, Working with Polynomials
  22. Solving Polynomial Equations
  23. Long-Run Behavior of Polynomials: End Behavior, Write and Graph Functions
  24. Power Functions: Positive Exponents
  25. Power Functions: Negative and Fractional Exponents
  26. Power Functions and Expressions
  27. Power Functions and Equations
  28. Domain and Range: Of Functions
  29. Composing and Decomposing Functions
  30. Shifting and Scaling
  31. Inverse Functions
  32. Exponents with Integer Powers and Fractional Powers
  33. Exponential Functions
  34. Domain and Range: Exponential Functions
  35. Modeling with Exponential Functions
  36. Exponential Functions and Base e
  37. Introduction to Logarithms
  38. Natural Logarithms
  39. Solving Exponential Equations
  40. Applications of Logarithms to Modeling
  41. Exponential Expressions
  42. Exponential Functions and Base e

Last updated 15 December 2022.

Math 105: Applied College Algebra

Text: Applied College Algebra University of Louisiana Lafayette with Materials from Algebra: Form and Function, 2nd Edition, McCallum,Connally, and Hughes-Hallett, Wiley, 2015.

Prerequisites: Minimum ACT Math score of 19, departmental placement exam or Intermediate Algebra with a grade of C or better.

Note: Only one of MATH 102, MATH 103 and MATH 104, MATH 105, MATH 107, MATH 109, or MATH 143 may be used for degree credit.

Knewton Alta is required. A scientific calculator is required. A TI-83,TI-83 Plus, TI-84, or TI-84 Plus Graphics Calculator is recommended.

Objectives, Outcomes, and Competencies

By the end of the course, students should be able to:

  1. Use mathematical methods and models to solve quantitative problems and communicate solutions effectively.
  2. Analyze and critically evaluate numerical and graphical data to draw reasonable and valid conclusions about real-world solutions.

Sections and Topics

  1. Reordering and Regrouping
  2. The Distributive Law
  3. Use Operations to Solve Equations
  4. What is a Function
  5. Functions and Expressions
  6. Functions and Equations
  7. Functions and Change
  8. Functions and Change
  9. Functions, Modeling, and Proportionality
  10. Introduction to Linear Functions
  11. Linear Expressions
  12. Linear Equations
  13. Equations for Lines in the Plane
  14. Systems of Linear Equations: Graphing Systems
  15. Solving Quadratic Equations
  16. Quadratic Expressions
  17. Applications of Quadratic Functions
  18. Converting to Factored and Vertex Form
  19. Quadratic Equations: Square Root Property
  20. End Behavior of Polynomials – Handout, on Moodle
  21. Polynomial Functions, Working with Polynomials
  22. Solving Polynomial Equations
  23. Long-Run Behavior of Polynomials: End Behavior, Write and Graph Functions
  24. Power Functions: Positive Exponents
  25. Power Functions: Negative and Fractional Exponents
  26. Power Functions and Expressions
  27. Power Functions and Equations
  28. Domain and Range: Of Functions
  29. Composing and Decomposing Functions
  30. Shifting and Scaling
  31. Inverse Functions
  32. Exponents with Integer Powers and Fractional Powers
  33. Exponential Functions
  34. Domain and Range: Exponential Functions
  35. Modeling with Exponential Functions
  36. Exponential Functions and Base e
  37. Introduction to Logarithms
  38. Natural Logarithms
  39. Solving Exponential Equations
  40. Applications of Logarithms to Modeling
  41. Exponential Expressions
  42. Exponential Functions and Base e

Last updated 15 December 2022.

Math 107: College Algebra And Quantitative Reasoning

Text:Explorations in College Algebra (5th edition), Kime, Clark, and Michael, Wiley

Course DescriptionElementary models of real world situations and use of technologies. Modeling linear, quadratic and exponential functions and their graphs, systems of linear equations, algebraic patters and proportional reasoning.

Prerequisites: ACT score of at least 19; Placement in math 107 by the Mathematics Department Placement Exam; or Intermediate Algebra with a grade of C or better. Only one of the following courses can be used for degree credit: math 102, math103/104, math 105, math 107, math 109, math 143.

Restriction:Education majors only.

A Graphing Calculator is required (TI83/84 is preferred). WileyPlus access is required.

section 

  1. Chapter 1: sections 1.2 through 1.5
  2. Chapter 2: sections 2.3 and 2.5 through 2.10
  3. Chapter 3: sections 3.1 through 3.4
  4. Chapter 4: sections 4.2 through 4.4
  5. Chapter 5: sections 5.1, 5.2, 5.3, and 5.5 through 5.7

Last updated 17 January 2016.

Math 109: Pre-Calculus Algebra

Text: College Algebra & Trigonometry, Julie Miller and Donna Gerken, McGraw Hill, 2017.

Prerequisite: Minimum ACT math score of 23, Math 103/104 or 105 with a minimum grade of C.

ALEKS is required. Graphing calculators are not allowed in this course. A calculator with a one line or two line display may be used.

Sections and Topics

  1. Chapter 2: Section 2.3: Functions and Relations, Section 2.4: Linear Equations in Two Variables and Linear Functions, Section 2.5: Applications of Linear Equations and Modeling, Section 2.6: Transformation of Graphs, Section 2.7: Analyzing Graphs of Functions and Piecewise-Defined Functions, Section 2.8: Algebra of Functions and Function Composition
  2. Chapter 1: Section 1.3 Complex Numbers, Section 1.4 Quadratic Equations
  3. Chapter 3: Section 3.1: Quadratic Functions and Applications, Section 3.2: Introduction to Polynomial Functions, Section 3.3: Division of Polynomials and the Remainder and Factor Theorems, Section 3.4: Zeros of Polynomials.
  4. Chapter 4: Section 4.1: Inverse Functions, Section 4.2: Exponential Functions, Section 4.3: Logarithmic Functions, Section 4.4: Properties of Logarithms, Section 4.5: Exponential and Logarithmic Equations and Applications, Section 4.6: Modeling with Exponential and Logarithmic Functions.
  5. Chapter 3: Section 3.5: Rational Functions, Section 3.6: Polynomial and Rational Inequalities.
  6. Chapter 9: Section 9.1: Systems of Linear Equations in Two Variables and Applications, Section 9.2: Systems of Linear Equations in Three Variables and Applications.
  7. Chapter 10: Section 10.1: Solving Systems of Linear Equations Using Matrices.

Last updated 9 January 2024

Math 110: Pre-Calculus, Trigonometry and Function Theory

Text: College Algebra & Trigonometry, Julie Miller and Donna Gerken, McGraw Hill, 2017.

Prerequisite: Minimum ACT math score of 24, Math 109 with a minimum grade of C, or placement by the Advance Credit Exam.

ALEKS is required. Graphing calculators are not allowed in this course. A calculator with a one line or two line display may be used.

Sections and Topics

  1. Chapter 5: Section 5.1: Angles and Their Measure, Section 5.2: Right Triangle Trigonometry, Section 5.3: Trigonometric Functions of Any Angle, Section 5.4: Trigonometric Functions Defined on the Unit Circle, Section 5.5: Graphs of the Sine and Cosine Functions, Section 5.6: Graph of Other Trigonometric Functions, Section 5.7: Inverse Trigonometric Functions.
  2. Chapter 6: Section 6.1: Fundamental Trigonometric Identities, Section 6.2: Sum and Difference Formulas, Section 6.3: Double-Angle, Power-Reducing, and Half-Angle Formulas, Section 6.5: Trigonometric Equations.
  3. Chapter 7: Section 7.1: Applications of Right Triangles, Section 7.2: The Law of Sines, Section 7.3: The Law of Cosines, Section 7.4: Harmonic Motion.
  4. Chapter 8: Section 8.1: Polar Coordinates, Section 8.2: Graphs of Polar Equations, Section 8.3: Complex Numbers in Polar Form, Section 8.4: Vectors, Section 8.5: Dot Product.
  5. Chapter 11: Section 11.6: Plane Curves and Parametric Equations.

Last updated 9 January 2024

Math 117: Number Sense For PK-8 Teachers

Text: Mathematics for Elementary and Middle School Teachers with Activities, 6th Edition, by Sybilla Beckmann, Pearson

Prerequisites: Minimum ACT math score of 19, or College Algebra with a grade of C or better, or MATH 107/103/105/109 with a grade of C or better. Restriction: Education majors only.

Course Description:

The content in this course aligns with that of K-8 schools, giving prospective teachers the knowledge of mathematics that they will need to effectively teach standards and content specified by both NCTM and CCSS.

Sections and Topics

  1. Chapter 1: 1.1 The Counting Numbers, 1.2 Decimals and Negative Numbers, 1.3 Reasoning to Compare Numbers in Base Ten, 1.4 Reasoning about Rounding
  2. Chapter 2: 2.1 Defining and Reasoning About Fractions, 2.2 Reasoning About Equivalent Fractions, 2.3 Reasoning to Compare Fractions, 2.4 Reasoning About Percent
  3. Chapter 3: 3.1 Interpretations of Addition and Subtraction, 3.2 The Commutative and Associative Properties of Addition, Mental Math, and Single-Digit Facts, 3.3 Why the Standard Algorithms for Addition and Subtraction in Base Ten Work, 3.4 Reasoning About Fraction Addition and Subtraction, 3.5 Why We Add and Subtract with Negative Numbers the Way We Do
  4. Chapter 4: 4.1 Interpretations of Multiplication 4.2 Why Multiplying by 10 Is Special in Base Ten, 4.3 The Commutative and Associative Properties of Multiplication, Areas of Rectangles, and Volumes of Boxes, 4.4 The Distributive Property, 4.5 Properties of Arithmetic, Mental Math, and Single-Digit Multiplication Facts, 4.6 Why the Standard Algorithm for Multiplying Whole Numbers Works
  5. Chapter 5: 5.1 Making Sense of Fraction Multiplication, 5.2 Making Sense of Decimal Multiplication, 5.3 Extending Multiplication to Negative Numbers, 5.4 Powers and Scientific Notation (Time Permitting)
  6. Chapter 6: 6.1 Interpretations of Division, 6.2 Division and Fractions and Divisions with Remainder, 6.3 Why Division Algorithms Work, 6.4 Fraction Division from the How-Many-Groups Perspective (Time Permitting), 6.5 Fraction Division from the How-Many-Units-in-1-Group Perspective (Time Permitting),
  7. Chapter 8: 8.1 Factors and Multiples, 8.2 Even and Odd, 8.3 Divisibility Tests, 8.4 Prime Numbers, 8.5 Greatest Common Factor and Least Common Multiple.

Last updated 12 September 2022.

Math 143: Pre-Calculus Algebra and Trigonometry

Text: College Algebra & Trigonometry, Julie Miller and Donna Gerken, McGraw Hill, 2017.

Prerequisite: Minimum ACT math score of 26 or placement by the Advance Credit Exam.

ALEKS is required.

Sections and Topics

  1. Chapter 2: Section 2.3: Functions and Relations, Section 2.4: Linear Equations in Two Variables and Linear Functions, Section 2.5: Applications of Linear Equations and Modeling, Section 2.6: Transformation of Graphs, Section 2.7: Analyzing Graphs of Functions and Piecewise-Defined Functions, Section 2.8: Algebra of Functions and Function Composition
  2. Chapter 1: Section 1.3: Complex Numbers, Section 1.4: Quadratic Equations
  3. Chapter 3: Section 3.1: Quadratic Functions and Applications, Section 3.2: Introduction to Polynomial Functions, Section 3.3: Division of Polynomials and the Remainder and Factor Theorems, Section 3.4: Zeros of Polynomials
  4. Chapter 4: Section 4.1: Inverse Functions, Section 4.2: Exponential Functions, Section 4.3: Logarithmic Functions, Section 4.4: Properties of Logarithms, Section 4.5: Exponential and Logarithmic Equations and Applications, Section 4.6: Modeling with Exponential and Logarithmic Functions
  5. Chapter 3: Section 3.5: Rational Functions, Section 3.6: Polynomial and Rational Inequalities
  6. Chapter 9: Section 9.1: Systems of Linear Equations in Two Variables and Applications, Section 9.2: Systems of Linear Equations in Three Variables and Applications
  7. Chapter 10: Section 10.1: Solving Systems of Linear Equations Using Matrices
  8. Chapter 5: Section 5.1: Angles and Their Measure, Section 5.2: Right Triangle Trigonometry, Section 5.3: Trigonometric Functions of Any Angle, Section 5.4: Trigonometric Functions Defined on the Unit Circle, Section 5.5: Graphs of the Sine and Cosine Functions, Section 5.6: Graph of Other Trigonometric Functions, Section 5.7: Inverse Trigonometric Functions
  9. Chapter 6: Section 6.1: Fundamental Trigonometric Identities, Section 6.2: Sum and Difference Formulas, Section 6.3: Double-Angle, Power-Reducing, and Half-Angle Formulas, Section 6.5: Trigonometric Equations
  10. Chapter 7: Section 7.1: Applications of Right Triangles, Section 7.2: The Law of Sines, Section 7.3: The Law of Cosines, Section 7.4: Harmonic Motion
  11. Chapter 8: Section 8.1: Polar Coordinates, Section 8.2: Graphs of Polar Equations, Section 8.3: Complex Numbers in Polar Form, Section 8.4: Vectors, Section 8.5: Dot Product
  12. Chapter 11: Section 11.6: Plane Curves and Parametric Equations

Last updated 10 August 2020

Math 206: Mathematics of Finance

Text: Mathematics of Finance: An Algebraic Approach, Allison Cointot and Christy Sue Langley, Great River Learning, 2021

Prerequisites: Minimum ACT math score of 25or SAT math score of 590 or credit inmath 102,math 103andmath 104, ormath 105

Section and Topic

  1. Linear Functions
  2. Exponential Functions
  3. Logaritmic Functions
  4. Differentiate Between Functions
  5. Simple Interest
  6. Maturity Value with Simple Interest
  7. Variables: Principal, Rate, and Time for Simple Interest
  8. Compound Interest
  9. Continuously Compounded Interest
  10. Variables: Principal, Rate, and Time for Compounded Interest
  11. Earnings
  12. Payroll Taxes
  13. Federal Income Tax Return
  14. Personal Banking Accounts
  15. Investing
  16. Loans
  17. Open-Ended Credit
  18. Ordinary Annuity
  19. Amortization Schedule
  20. Annuity Due
  21. Property Tax
  22. Sales Tax

Last updated 26 July 2023

Math 210: Practical Mathematics

Text: Precalculus, 3rd edition, Cynthia Y. Young, Wiley, 2018.

Prerequisites: Minimum ACT math score of 25 or SAT MATH score of 570 or credit in MATH 102,MATH 103/104, or MATH 105.

Sections and Topics

  1. Chapter 1:1.1 Functions, 1.2 Graphs of Functions, 1.3 Graphing Techniques: Transformations, 1.4 Combining Functions, 1.5 One-to-one Functions and Inverse Functions
  2. Chapter 0: 0.7 Modeling Variation
  3. Appendix A: A7 Complex Numbers
  4. Chapter 0: 0.2 Quadratic Equations
  5. Chapter 2: 2.1 Quadratic Functions
  6. Chapter 3: 3.1 Exponential Functions and Their Graphs, 3.2 Logarithmic Functions and Their Graphs, 3.3 Properties of Logarithms, 3.4 Exponential and Logarithmic Equations
  7. Chapter 4: 4.1 Angle Measure, 4.2 Right Triangle Trigonometry, 4.3 Trigonometric Functions of Angles, 4.4 The Law of Sines, 4.5 The Law of Cosines
  8. Chapter5: 5.1 Trigonometric Functions: The Unit Circle Approach, 5.2 Graphs of Sine and Cosine Functions, 5.3 Graphs of other Trigonometric Functions (Tangent and Cotangent only)
  9. Chapter 6: 6.5 Inverse Trigonometric Functions
  10. Chapter 7: 7.1 Vectors
  11. Chapter 9: 9.1 Conic Basics (if time permits), 9.2 The Parabola (if time permits), 9.3 The Ellipse (if time permits)

Last updated 1 February 2022

Math 217: Geometry and Measurement For PK-8 Teachers

Text: Mathematics for Elementary Teachers with Activities 5th Edition, by Sybilla Beckmann, McGraw Hill

Prerequisites:Completion of MATH 117 and MATH 107/105/103 with a grade of C or better. Restriction: Education majors only.

Course Description:
The content in this course aligns with that of K-8 schools, giving prospective teachers the knowledge of mathematics that they will need to effectively teach standards and content specified by both NCTM and CCSS. Applications of measurement and geometry with a focus on understanding and explaining mathematical concepts. Systems of measurement, plane figures, properties of polygons, three dimensional figures, area and perimeter, volume and surface area, geometric patterns, estimation, problem solving, and number concepts integrated within real world situations.

Sections and Topics

  1. Chapter 7: 7.1 Motivating and Defining Ration and Proportional Relationships, 7.2 Solving Proportion Problems by Reasoning with Multiplication and Division, 7.3 The Values of a Ratio: Unit Rates and Multipliers, 7.6 Percent Revisited: Percent Increase and Decrease,
  2. Chapter 10: 10.1 Lines and Angles, 10.2 Angles and Phenomena in the World, 10.3 Circles and Spheres, 10.4 Triangles, Quadrilaterals, and Other Polygons, 11.1 Concepts of Measurement, 11.2 Length, Area, Volume, and Dimension, 11.3 Error and Precision in Measurement, 11.4 Converting from One Unit of Measurement to Another
  3. Chapter 12: 12.1 Areas of Rectangles Revisited, 12.2 Moving and Additivity Principles About Area, 12.3 Areas of Triangles, 12.4 Areas of Parallelograms and Other Polygons, 12.5 Shearing: Changing Shapes Without Changing Area, 12.6 Area and Circumference of Circles and the Number Pi, 12.7 Approximating Areas of Irregular Shapes, 12.8 Contrasting and Relating the Perimeter and Area of Shapes, 12.9 Using the Moving and Additivity Principles to Prove the Pythagorean Theorem
  4. Chapter 13: 13.1 Polyhedra and Other Solid Shapes, 13.2 Patterns and Surface Area, 13.3 Volumes of Solid Shapes, 13.4 Volume of Submersed Objects Versus Weight of Floating Objects
  5. Chapter 14: 14.1: Reflections, Translations, and Rotations, 14.2 Symmetry, 14.3 Congruence, 14.4 Constructions with Straightedge and Compass, 14.5 Similarity, 14.6 Dilations and Similarity, 14.7 Areas, Volumes, and Similarity

Last updated 30 October 2020.

Math 250: Survey of Calculus

Text: Applied Calculus, 6th edition, Hughes-Hallet, Gleason, Lock, Flath, et al., Wiley, 2018

Prerequisites:Math 103/104, Math 105, Math 143, or Math 109 with a grade of C or better.

Our textbook concentrates on the most important topics of calculus with emphasis on the graphical and numerical representation of functions and other relations as well as the traditional use of symbolic formulas. The materials in our text are meant to be read thoroughly and carefully. The writing is plain and straightforward. Please include reading tomorrow's section in your assignment every day. The authors include several types of in-depth problems designed to develop conceptual understanding, rather than routine "drill" examples. The aim is to have you understand and apply the concepts, rather than mimic examples from the textbook. In this course, a graphing calculator is required for visualization and numerical computation.

Sections and Topics

  1. Chapter 1: 1.1 What Is a Function?, 1.2 Linear Functions, 1.3 Average Rate of Change & Relative Change, 1.4 Applications of Functions to Economics, 1.5 Exponential Functions, 1.6 The Natural Logarithm, 1.7 Exponential Growth and Decay, 1.8 New Functions from Old, 1.9 Proportionality, and Power Functions,
  2. Chapter 2: 2.1 Instantaneous Rate of Change, 2.2 The Derivative Function, 2.3 Interpretations of the Derivative, 2.4 The Second Derivative, 2.5 Marginal Cost and Revenue,
  3. Chapter 3: 3.1 Derivative Formulas for Powers and Polynomials, 3.2 Exponential and Logarithmic Functions, 3.3 The Chain Rule, 3.4 Product and Quotient Rules, Focus on Practice p. 168.
  4. Chapter 4: 4.1 Local Maxima and Minima, 4.2 Inflection Points, 4.3 Global Maxima and Minima, 4.4 Profit, Cost, and Revenue, 4.5 Average Cost
  5. Chapter 5: 5.1 Distance and Accumulated Change, 5.2 The Definite Integra, 5.3 The Definite Integral as Area, 5.4 Interpretations of the Definite Integral, 5.5 Total Change and The Fundamental Theorem of Calculus, 5.6 Average Value
  6. Chapter 6: 6.1 Analyzing Antiderivatives Graphically and Numerically, 6.2 Antiderivatives and The Indefinite Integral, 6.3 Using The Fundamental Theorem to Find Definite Integrals, 6.5 Present and Future Value

Last updated 22 June 2018

Math 270: Calculus I

Text: Calculus: Early Transcendentals, 3rd Edition, by Briggs, Cochran, Gillett and Schulz, 2019.

Prerequisites: Minimum ACT math score of 28 or SAT math score of 660, math 109 and math 110 with a grade of C or better, math 143 with a grade of C or better, proctored ALEKS PPL score of 76, or placement by the Advance Credit Exam.

Objectives, Outcomes, and Competencies

By the end of the course, students should be able to:

  1. Use mathematical methods and models to solve quantitative problems and communicate solutions effectively.
  2. Analyze and critically evaluate numerical and graphical data to draw reasonable and valid conclusions about real-world solutions.

Sections and Topics

  1. Chapter 2: Section 2.1: The Idea of Limits, Section 2.2: Definitions of Limits, Section 2.3: Techniques for Computing Limits, Section 2.4: Infinite Limits, Section 2.5: Limits at Infinity, Section 2.6: Continuity.
  2. Chapter 3: Section 3.1: Introducing the Derivative, Section 3.2: The Derivative as a Function, Section 3.3: Rules of Differentiation, Section 3.4: The Product and Quotient Rules, Section 3.5: Derivatives of Trigonometric Functions, Section 3.6: Derivatives as Rates of Change, Section 3.7: The Chain Rule, Section 3.8: Implicit Differentiation, Section 3.9: Derivatives of Logarithmic and Exponential Functions, Section 3.10: Derivatives of Inverse Trigonometric Functions, Section 3.11: Related Rates.
  3. Chapter 4: Section 4.1: Maxima and Minima, Section 4.2: Mean Value Theorem, Section 4.3: What Derivatives Tell Us, Section 4.4: Graphing Functions, Section 4.5: Optimization Problems, Section 4.6: Linear Approximation and Differentials, Section 4.7: L’Hopital’s Rule, Section 4.9: Antiderivatives.
  4. Chapter 5: Section 5.1: Approximating Areas under Curves, Section 5.2: Definite Integrals, Section 5.3: Fundamental Theorem of Calculus, Section 5.4: Working with Integrals, Section 5.5: Substitution Rule.
  5. Chapter 6: Section 6.1: Velocity and Net Change.

Last updated 15 December 2022.

Stat 214: Elementary Statistics

Text: Essential Statistics, 3rd ed. William Navidi and Barry Monk, McGraw-Hill, 2022.

Prerequisites: A minimum ACT math score of 25, SAT math score of 590, credit in MTHS 102 and MTHS 102S, MATH 102, MATH 103 and MATH 104, MTHS 105 and MTHS 105S, MATH 105, MTHS 109 and MTHS 109S, MATH 109, MATH 143, MATH 270, or MATH 272.

ALEKS and a TI-83 series or TI-84 series graphing calculator are required.

This course provides an introduction to statistics for students from various disciplines. The core topics are descriptive statistics, hypothesis testing, confidence intervals, correlation, and regression. Coverage includes: univariate and bivariate graphical and numerical descriptive methods; one and two sample Student's t confidence intervals and test for means; and normal theory methods for inference about one and two proportions. Basic probability concepts, including binomial and normal distributions, are covered to provide a sound base for inferential methods.

The outline given below provides indications of the topics covered and their location in the textbook.

Sections and Topics

  1. Basic ideas: Populations, samples, variables, parameters, statistics, random sampling, and experimentation. (Chapter 1)
  2. Descriptive statistics (univariate): Graphical, tabular, and numerical summaries of data. (Chapters 2 and 3)
  3. Descriptive statistics (bivariate): Relationships between two quantitative variables: Scatterplots, correlation, and regression: Linear association, the correlation coefficient, least squares regression. (Chapter 11)
  4. Probability: Probability, random variables, distributions, sampling distributions, the binomial and normal distributions. (Section 4.1--4.2 and Chapters 5 and 6)
  5. Inference for one parameter: Confidence intervals and hypothesis tests for one mean (normal and Student's t) and for one proportion (normal). (Chapters 7 and 8)
  6. Inference for two parameters: Confidence intervals and hypothesis tests for the difference between two means (Student's t) and the difference between two proportions (normal) based on independent or paired samples. (Chapter 9)

Last updated 20 April 2024.

Math 301: Calculus II

Text: Calculus: Early Transcendentals, 3rd Edition, by Briggs, Cochran, Gillett and Schulz, 2019.

Prerequisites: math 270 (Calculus I) with a grade of C or better.

Sections and Topics

  1. Chapter 6: Section 6.2: Regions Between Curves, Section 6.3: Volume by Slicing, Section 6.4: Volume by Shells, Section 6.5: Length of Curves, Section 6.6: Surface Area, Section 6.7: Physical Applications.
  2. Chapter 7: Section 7.1: Logarithmic and Exponential Functions Revisited, Section 7.2: Exponential Models, Section 7.3: Hyperbolic Functions.
  3. Chapter 8: Section 8.1: Basic Approaches, Section 8.2: Integration by Parts, Section 8.3: Trigonometric Integrals, Section 8.4: Trigonometric Substitutions, Section 8.5: Partial Fractions, Section 8.6: Integration Strategies, Section 8.7: Other Methods of Integration, Section 8.9: Improper Integrals, Section 8.8: Midpoint, Trapezoid, and Simpson's Rules.
  4. Chapter 10: Section 10.2: Sequences, Section 10.3: Infinite Series, Section 10.4: The Divergence and Integral Tests, Section 10.5: Comparison Tests, Section 10.6: Alternating Series, Section 10.7: The Ratio and Root Tests, Section 10.8: Choosing a Convergence Test.
  5. Chapter 11: Section 11.1: Approximating Functions with Polynomials, Section 11.2: Properties of Power Series, Section 11.3: Taylor Series.
  6. Chapter 12: Section 12.1: Parametric Equations, Section 12.2: Polar Coordinates, Section 12.3: Calculus in Polar Coordinates, Section 12.4: Conic Sections.

Last updated 19 December 2022.

Math 302: Calculus III

Text: Calculus: Early Transcendentals, 3rd Edition, by Briggs, Cochran, Gillett and Schulz, 2019.

Prerequisites: math 301 (Calculus II) with a grade of C or better.

Sections and Topics

  1. Chapter 13: Section 13.2: Vectors in 3D, Section 13.3: Dot Products, Section 13.4: Cross Products, Section 13.5: Lines and Planes in Space.
  2. Chapter 14: Section 14.1: Vector-Valued Functions, Section 14.2: Calculus of Vector-Valued Functions, Section 14.3: Motion in Space, Section 14.4: Length of Curves.
  3. Chapter 13: Section 13.6: Cylinders and Quadric Surfaces.
  4. Chapter 15: Section 15.1: Graphs and Level Curves, Section 15.2: Limits and Continuity, Section 15.3: Partial Derivatives, Section 15.4: The Chain Rule, Section 15.5: Directional Derivatives and the Gradient, Section 15.6: Tangent Planes and Linear Approximation, Section 15.7: Maximum/Minimum Problems, Section 15.8: Lagrange Multipliers.
  5. Chapter 16: Section 16.1: Double Integrals over Rectangular Regions, Section 16.2: Double Integrals over General Regions, Section 16.3: Double Integrals in Polar Coordinates, Section 16.4: Triple Integrals, Section 16.5: Triple Integrals in Cylindrical and Spherical Coordinates, Section 16.6: Integrals for Mass Calculations, Section 16.7: Change of Variables in Multiple Integrals.
  6. Chapter 17: Section 17.1: Vector Fields, Section 17.2: Line Integrals, Section 17.3: Conservative Vector Fields, Section 17.4: Green's Theorem, Section 17.5: Divergence and Curl, Section 17.6: Surface Integrals, Section 17.7: Stokes' Theorem, Section 17.8: Divergence Theorem.

Last updated 19 December 2022.

Math 317: Probability, Statistics, and Number Systems For PK-8 Teachers

Text: Math 317 - Probability, Statistics & Special Topics, by Lee Price and Beth Borel, Fall 2014

Prerequisites: MATH 107, MATH 117 and MATH 217 with a grade of C or better. Restriction: Education majors only.

Course Description:

Descriptive statistics, probability, patterns, development of number systems and their properties, and problem solving through real world situations. Understanding and proper use of mathematical language.

This content in this course aligns with that of K-8 schools, giving prospective teachers the knowledge of mathematics that they will need to effectively teach the CCSS content. Also, an emphasis is placed on the Standards for Mathematical Practice as described in the CCSS, allowing prospective teachers to experience what their future K-8 students will experience. Prospective teachers enrolled in this course are expected to:
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriately tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.

Course Outcomes:

Students will learn:
How important concepts can be developed in a smooth progression, giving special attention to significant mathematics and cognitive transitions;
How the Big Ideas are rooted and interconnected in real-world contexts, and how they can be modeled using familiar objects and situations;
How number sense, spatial sense, intuition, and problem-solving permeate everything;
That reasoning and ordinary language are essential components of concept development.

Students will have intuition, skills and deep understanding of the number sense concepts in pre-K through 8th grade.

Instructional Methods:

Visual aids such as charts and drawings are presented to help the students grasp the mathematical concepts. A wide variety of techniques, approaches, and appropriate tools will be used as students are encouraged to solve problems in different ways. Emphasis is placed on the students' ability to express "in writing" how they solve various types of problems and how they know that the answer is correct. Manipulatives will be used to model mathematical topics and arithmetic operations.

Calculators: Students are not allowed to use calculators. Students are expected to use the methods developed to do calculations mentally and well as incorporating these methods to pencil and paper work. All explanations should be clear and concise and written at an elementary level.

Sections and Topics

  1. Introduction to Course
  2. Section 1: Chances Are?: Simple probability, Sample space, Experiments, Events.
  3. Section 2: This or That?: Compound Probability (and & or), Use of tables in probability, Complementary event (1-P(E)=P(E')).
  4. Section 3: How Odd?: Odds, Ratios.
  5. Section 4: And Then What Happened?: Independent and Dependent Events, Conditional Probability, Probability Tree Diagrams.
  6. Section 5: The Power of Venn: Venn Diagrams.
  7. Section 1: Order Please!: Multiple Counting Principle, Permutations.
  8. Section 2: Group Work?: Combinations, Factorials.
  9. Section 3: Mixed Nuts?: Combination vs Permutation, Use Complements to find answers to "at least" type problems.
  10. Section 4: Target Practice: Probability with geometric figures.
  11. Section 1: Worth a Thousand Words: Part 1 – Qualitative Data: Quantitative vs Qualitative, Pictograph, Circle Graph / Pie Chart, Bar graph.
  12. Section 2: Worth a Thousand Words: Part 2 – Quantitative Data: Line plot / Dot plot, Graphs descriptors: outliers, clusters, gaps, ..., Graphs distributions: random, uniform, symmetric, skewed, Stem-Leaf Plot, Discrete vs Continuous data, Histogram.
  13. Section 3: The Average American Teenager?: Mean, Median, Mode, Weighted Average.
  14. Section 4: Spread the News: Mean Absolute Deviation, Five Number Summary, Box and Whiskers Plot, Standard Deviation.
  15. Patterns: Arithmetic Sequences
  16. Patterns: Geometric Sequences