Syllibus for MATH 1401:  Calculus 1

This is an approximate schedule.  Actual schedule will vary slightly by section.

Text is:  Calculus, Concepts and Contexts, by James Stewart, second edition
 
 
Week
Sections 
Material Covered
1 Ch 1,
2.1
Review
Tangent and velocity
2 Test on Pre-requisite material
2.2 
2.3
2.4
During your scheduled lab time
Limits
Calculating Limits
Continuity
3 2.5
2.6
Limits involving infinity
Rates of change
4 2.7
2.8
2.9
Derivatives (formal definition)
Deriviative as a function
Linear approximations
5 2.10
3.1
f and f'
Derivatives of polynomials and exponential f'ns
6 Review
Exam 1

Exam through Section 2.10
7 3.2
3.3
3.4
Product and quotient rule
Applications
Deriv. of trigonometric functions
8 3.5
3.6
Chain rule
Implicit Differentiation
9 ILAP activity
3.7

Deriv. of logarithmic function
10 3.8
4.1
Linear Approximations
Related Rates
11 4.2
4.3
4.4
Maximum and Minimum Values
Derivatives and the Shapes of Curves
Using calculators (review)
12 4.5
Exam 2
Indeterminate forms and l'Hospital's rule
 Through Section 4.3
13 4.6
4.9, 5.1
Optimization problems
Antiderivatives, area
14 5.2, 5.3
5.4
Definite integral
Fundamental Thm of Calculus
15 5.5 Integration by Substitution
Review and catch-up
Saturday before
Final Week
  Uniform Final Examination

Precalculus Review

(pdf files can be read with Acrobat Reader) Calc1rev.pdf is a list of review questions that you should be able to answer before starting Calculus I. If you have cannot solve similar problems after a week of review, you should take MATH 1130 Precalculus before taking this course.
Postscript version of the above file is Calc1rev.ps