Department of Mathematics - RHIT Topics Outline for MA101 - Introductory Calculus - 2009-10

last posted to site: 08/19/10

MA101 and MA102 combined are equivalent to MA111, except that more that usual attention is paid to review and practice. Depending on the class the amount of MA111 material covered will vary though it is expected that the non-italicized Course Topics, given below, will be covered. The instructors for MA101 and MA102 will collaborate on which set of topics will be covered in each course.

Textbook and other required materials

Textbook: Thomas' Calculus - Early Transcendentals Twelfth Edition - Weir, Hass
Supplement: Just in Time - bundled with text.
Computer Usage:  Maple14 must be available on your laptop

Approximate Timing and Pace

There should be 3 or 4 tests, perhaps a final review day or two.

 Chapter Sections Topic Time First Chapter and other review, Maple Introduction Review Material 2 weeks 2.1, 2.2, 2.3, 2.4, 2.5, 2.6 Limits and Continuity 2 weeks 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9 Derivatives 1 week

Text Topics - Optional topics in italics

1. Functions

1.1 Functions and Their Graphs (optional)

1.2 Combining Functions; Shifting and Scaling Graphs (optional)

1.3 Trigonometric Functions

1.4 Graphing with Calculators and Computers

1.5 Exponential Functions

1.6 Inverse Functions and Logarithms

2. Limits and Continuity

2.1 Rates of Change and Tangents to Curves

2.2 Limit of a Function and Limit Laws

2.3 The Precise Definition of a Limit

2.4 One-Sided Limits

2.5 Continuity

2.6 Limits Involving Infinity; Asymptotes of Graphs

3. Differentiation

3.1 Tangents and the Derivative at a Point

3.2 The Derivative as a Function

3.3 Differentiation Rules

3.4 The Derivative as a Rate of Change

3.5 Derivatives of Trigonometric Functions

3.6 The Chain Rule

3.7 Implicit Differentiation

3.8 Derivatives of Inverse Functions and Logarithms

3.9 Inverse Trigonometric Functions

3.10 Related Rates

3.11 Linearization and Differentials