MATH 1951 University of Denver

Syllabus Calculus I – MATH 1951

This is an attempt. Things may change as we go.

WeekSections

Sep 12 – Sep 16

0 – History of Calculus
1.1 – Review of Functions (optional)
1.2 – Basic Classes of Functions (optional)
2.1 – A Preview of Calculus
2.2– The Limit of a Function

Sep 19 – Sep 23
2.3 – Limit Laws
2.4 – Continuity
2.5 – The Precise Definition of a Limit*

Sep 26 – Sep 30
3.1 – Defining the Derivative
3.2 – The Derivative as a Function
3.3 – Differentiation Rules

Oct 3 – Oct 7

3.4 – Derivatives as Rates of Change
3.5 – Derivatives of Trigonometric Functions

MIDTERM 1 (Oct 7)

Oct 10 – Oct 14
3.6 – The Chain Rule
3.8 – Implicit Differentiation
3.9 – Derivatives of Exponential and Logarithmic Functions

Oct 17 – Oct 21
4.1 – Related Rates
4.2 – Linear Approximations and Differentials

Oct 24 – Oct 28
4.3 – Maxima and Minima
4.4 – The Mean Value Theorem

Oct 31 – Nov 4
4.5 – Derivatives and the Shape of a Graph
4.6 – Limits at Infinity and Asymptotes
4.8 – l’Hopital’s Rule (0/0, infty/infty only)

MIDTERM 2 (Nov 4)

Nov 7 – Nov 11
4.7 – Applied Optimization Problems
4.9 – Newton’s Method

Nov 14 – Nov 18
Curve Sketching
More on Optimization Problems
Review

Nov 20

FINAL EXAM

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