MATH 201 Syllabus
Section 001 (doc) (pdf)
Section 002 (doc) (pdf)
MATH 201H Syllabus
Section 001 (doc) (pdf)
Section 002 (doc) (pdf)
Lecture Notes:
Section 1.1 (Limits: An Intuitive Approach)
Section 1.2 (Computing Limits)
Section 1.3 (Limits at Infinity; End Behavior of a Function)
Section 1.5 (Continuity)
Section 1.6 (Continuity of Trigonometric, Exponential, and Inverse Functions)
Section 2.1 (Tangent Lines and Rates of Change)
Section 2.1 Worksheet
Section 2.2 (The Derivative Function)
Section 2.3 (Introduction to Techniques of Differentiation)
Section 2.4 (The Product and Quotient Rules)
Section 2.5 (Derivatives of Trigonometric Functions)
Section 2.6 (The Chain Rule)
Section 3.1 (Implicit Differentiation)
Section 3.2 (Derivatives of Logarithmic Functions)
Section 3.3 (Derivatives of Exponential and Inverse Trigonometric Functions)
Section 3.4 (Related Rates)
Section 3.4 Worksheet
Section 3.5 (Local Linear Approximation; Differentials)
Section 3.6 (L'Hopital's Rule; Indeterminate Forms)
Section 4.1 (Analysis of Functions I: Increase, Decrease, and Concavity)
Section 4.2 (Analysis of Functions II: Relative Extrema; Graphing Polynomials)
Section 4.4 (Absolute Maxima and Minima)
Section 4.5 (Applied Maximum and Minimum Problems)
Section 4.7 (Newton's Method)
Section 4.8 (Rolle's Theorem; Mean Value Theorem)
Section 5.2 (The Indefinite Integral)
Section 5.3 (Integration by Substitution)
Section 5.5 (The Definite Integral)
Section 5.5 Worksheet
Section 5.6 (The Fundamental Theorem of Calculus)
Section 5.7 (Rectilinear Motion Revisited Using Integration)
Section 5.8 (Average Value of a Function and its Applications)
Homework:
The purpose of these homework assignments is not to simply solve the problem, but to provide an explanation for the solution of the problem. You will be graded on the correctness of your mathematics, the correctness of your explanation, and how well the explanation is written.
Section 1.1 #20 - due Wednesday 8/28
Section 1.2 #32 - due Friday 8/30
Section 1.3 #24 - due Monday 9/2
Section 1.5 #44 - due Wednesday 9/4
Section 1.6 #65 - due Friday 9/6
Section 2.2 #48 - due Wednesday 9/11
Section 2.3 #51 - due Friday 9/20
Section 2.4 #39 - due Monday 9/23
Section 2.5 #32 - due Wednesday 9/25
Section 2.6 #76 - due Wednesday 9/25
Section 3.1 #10 - due Friday 9/27
Section 3.2 #36 - due Friday 10/4
Section 3.3 #72 - due Monday 10/7
Section 3.5 #3 - due Wednesday 10/9
Section 3.6 #42 - due Wednesday 10/23
Section 4.1 #12 - due Friday 10/25
Section 4.2 #77(a) - due Wednesday 10/30
Section 4.4 #43 - due Friday 11/1
Section 4.5 #22 - due Monday 11/4
Section 4.7 #6 - due Friday 11/8
Section 4.8 #20 - due Wednesday 11/13
Section 5.2 #52 - due Friday 11/15
Section 5.3 #30 - due Monday 11/18
Section 5.7 #42 - due Monday 11/25
Projects:
Guide to Writing in Mathematics
Project Guidelines
Checklist for Writing Projects
Honors project #1 - due 10/2
Honors project #2 - due 12/2
Class project - due 11/11
Miscellaneous:
Tangent Line animation
Area Under the Curve