MAC 1311 SYLLABUS

Chapter P: Preparation for Calculus - Prerequisite Skills - Reviews will be done outside of class - Help with the review and answer keys to the worksheets are available in the ACE lab.

Review of Polynomial Functions and Their Graphs

    Review A    Review B

Review of Trigonometric Functions

    Trigonometric Functions Graphs and Inverse Trig functions

Overall Review

    Graphing practice Trig Practice Mixed Practice

CHAPTER 1 - LIMITS AND THEIR PROPERTIES

1.2 Finding Limits Graphically and Numerically*

1.3 Evaluating Limits

        Polynomials (analytically) *  Review     Answers

        Trigonometric limits: Squeeze Theorem   Limits involving trig

1.4 & 1.5 Continuity, One-Sided Limits, and Infinite Limits *

3.5 Limits at infinity

Practice Test 1             Practice Test 1 Answer Key

Practice Test 2             Answers for Practice Test 2

CHAPTER 2 - DIFFERENTIATION

2.1 The Derivative and the Tangent Line Problem

    Link to interactive web site:
    http://www.math.tamu.edu/AppliedCalc/Classes/Plot2/SecantTangent.html

2.2 Basic Differentiation Rules *

2.3 Product and Quotient Rules

          Tangent lines, higher-order derivatives and review *

2.4 The Chain Rule*

2.2 - 2.4 Derivatives Involving Trigonometric Functions

          Review of Trig Derivatives

2.5 Implicit Differentiation*

        Review of Derivatives

2.6 Related Rates

Review for Test 2         Extra Practice Test 2

Review Exercises - Test 2     Answers for the Review Exercises Test 2

HM Practice for Text 2 (with answers)

CHAPTER 3 - APPLICATIONS OF DIFFERENTIATION

Review following Chapter 2 test

3.3 Increasing and Decreasing Functions and the First Derivative Test*

    More on Increasing and Decreasing

3.1 Extrema on an Interval*

3.4 Second Derivative Test and Concavity *

3.7 Optimization Problems

3.2 Rolle's Theorem and the Mean Value Theorem

        http://www.cut-the-knot.org/Curriculum/Calculus/CubicSpline.shtml

3.6 Summary of Curve Sketching *

     Graphing the derivative of a function     Homework

In class Review     Extra Review

Optional reviews:

Review Exercises - Test 3    Answer Key for Test 3

Review Exercises 2 - Test 3   Answer Key for Review Exercises 2 - Test 3

Review Exercises 3 - Test 3

Review Exercises 4 - Test 3   Answer Key for Review Exercises 4 - Test 3

CHAPTER 4 - INTEGRATION

Introductory Practice

4.1 Antiderivatives and Indefinite Integration*

4.4 The Fundamental Theorem of Calculus*

4.5 Integration by Substitution*

4.6 Numerical Integration.

Review Exercises - Test 4 Answer Key for Test 5

CHAPTER 5 - LOGARITHMIC, EXPONENTIAL, AND OTHER TRANSCENDENTAL FUNCTIONS

5.1 Natural Logarithmic Function and Differentiation*
    Worksheet A        Worksheet B

5.2 Natural Logarithmic Function and Integration*
    Worksheet A        Worksheet B

5.4 Exponential Function*

5.5 Bases other than e and Applications*

    Review of E's, A's, and Log's

5.6 Derivatives of Inverse Trig Functions

5.7 Integration of Trigonometric Functions*

Review of Derivatives       Review of IntegralsAnswer Key for Practice Test 1

Practice 2 for test 5        Answer Key for practice 2 test 5

Practice 3 test 5 with answers

Practice 4 test 5 Answers practice 4 page 1    page 2

Miscellaneous Sections - Not covered on a unit exam but included in the final exam.

4.3 Reimann Sums and the Definite Integral

    Ineractive Riemann Sums - left, right and middle

        http://science.kennesaw.edu/~plaval/applets/Riemann.html

    Riemann Sums Worksheet

    Trapezoidal rule and Simpson's Rule: Worksheet

        http://cs.jsu.edu/mcis/faculty/leathrum/Mathlets/trapsimp.html

    Additional links to Riemann Sums and Simpson's Rule

    http://www.cut-the-knot.org/Curriculum/Calculus/RiemannSums.shtml

7.1 Area of a Region Between Two Curves

8.7 Indeterminate Forms and L'Hopital's Rule

Final Examination

* Videotapes are available on these topics.

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