##

Math 180/201: Differential Calculus

(2014/2015)

## Course Outline

###
(back to M180)

Course information and syllabus are posted here.

### Evaluation:

- Final Exam: 50%
- Midterms: 16% each
- Webwork: 9%
- Workshops: 7%
- Clicker Participation: 2%

### Text Book:

Calculus, Early Transcendentals,

7th edition by James Stewart.

Some suplemental material can be found here

### Topics by Week:

Topics subject to slight changes. Sections refer to the text book unless otherwise noted.

**Week 1**
- §2.1 The Tangent and Velocity Problems
- §2.2 The Limit of a Function
- §2.3 Calculating Limits Using the Limit Laws

**Week 2**
- §2.5 Continuity
- §2.6 Limits at Infinity; Horizontal Asymptotes
- §2.7 Derivatives and Rates of Change

**Week 3**
- §2.8 The Derivative as a Function
- §3.1 Derivatives of Polynomials and Exponential Functions
- §3.2 The Product and Quotient Rules
- §3.3 Derivatives of Trigonometric Functions

**Week 4**
- §3.4 The Chain Rule
- §1.6 Inverse Functions and Logarithms

**Week 5**
- Midterm Test 1: Feb 3 in class
- §3.5 Implicit Differentiation
- §3.6 Derivatives of Logarithmic Functions

**Week 6**
- §3.7 Rates of Change in the Natural and Social Sciences
- §3.8 Exponential Growth and Decay

**Week 7**
**Week 8**
- Course Notes §2 Taylor’s Formula with Remainder
- §4.1 Maximum and Minimum Values

**Week 9**
- §4.2 The Mean Value Theorem
- Midterm Test 2: March 12 in class

**Week 10**
- §4.3 How Derivatives Affect the Shape of a Graph (First and Second Derivative Tests)
- §4.5 Summary of Curve Sketching

**Week 11**
- §4.4 L'Hopital's rule
- §4.7 Optimization Problems

**Week 12**
- §4.8 Newton's Method
- §4.9 Antiderivatives

** Week 13**