MATH 201/201H - Spring 2014
Calculus I

Syllabi:
MATH 201 Syllabus
        Section 001 (doc) (pdf)Math Pick-up Lines
        Section 002 (doc) (pdf)
MATH 201H Syllabus
        Section 001 (doc) (pdf)
        Section 002 (doc) (pdf)

A successful Math 201 students will:
1. Come prepared to every class lecture. Preparation should include reviewing notes from the previous section, and pre-reading the material to be covered in class.
2. Complete every homework assignment (whether collected or not!). This will likely require 8-12 hours outside of class every week.
3. Seek help as soon as you are having difficulty. Use office hours and peer study groups to improve your performance.

Week at a Glance:
Monday: Office 10:30-12:30
Tuesday: Math 201-002 Final 8:00-10:30
               Math 201-001 Final 11:30-2:00
                                                                     
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 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)

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 #22 - due Monday 1/27
Section 1.2 #32 - due Monday 1/27
Section 1.3 #48 - due Monday 1/27
Section 1.5 #44 - due Monday 1/27

Section 1.6 #64 - due Monday 2/3

Section 2.2 #8 - due Monday 2/10

Section 2.3 #51 - due Monday 2/24
Section 2.4 #27 - due Monday 2/24
Section 2.5 #28(b) - due Monday 2/24
Section 2.6 #38 - due Monday 2/24

Section 3.1 #37 - due Monday 3/3
Section 3.2 #36 - due Monday 3/3

Section 3.3 #32 - due Monday 3/10

Section 3.5 #3 - due Monday 3/31
Section 3.6 #42 - due Monday 3/31

Section 4.1 #12 - due Monday 4/7
Section 4.2 #77(a) - due Monday 4/7

Section 4.4 #43 - due Monday 4/14
Section 4.5 #22 - due Monday 4/14

Section 5.2 #54 - due Monday 4/21
Section 5.3 #34 - due Monday 4/21

Projects:
Guide to Writing in Mathematics
Project Guidelines
Checklist for Writing Projects

Course project - due Monday 4/14

Miscellaneous:
Khan academy
WolframAlpha
Tangent Line animation
Area Under the Curve