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
- §3.9 Related Rates
- §3.10 Linear Approximations
- Course Notes §1 Taylor Polynomials
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