Lecture (section 5)
Professor: Arun Ram
MWF 1:20-2:15
B130 Van Vleck

 
Discussion
TA: Zajj Daugherty
office: 101 VV
phone: 263-1350
(see main page for more info)
Office hours:
W&F 11a - 11:50a
Th 2p - 3p.

Section 394 TR 11am B219 Van Vleck

Section 395 TR 12:05pm 116 Ingraham

Course Info:

Scheduling and Grading

Homework will be due weekly on Monday, in lecture. Each week your I will grade 5 randomly chosen problems from your homework. Each of these problems will be worth 1 point (5 points total). 2 more points will be given for completeness and 3 more points for overall quality. If you have specific questions, include a note with your homework so that I can help. Most of the answers to the homework problems will be given along with the homework problems and so if you do not show your steps, justify your answers, and write clearly in complete sentences, you will get no credit. Your homework should be turned in in a form which could be given to a typist for typing, i.e. neat, clear, legible, and in complete sentences. Late homework is not accepted.

The homework assignments should be found here (see the section "Homework Assignments"). Or, for tree-friendly printing, smaller versions can be found below. You can find consolodated versions of Prof. Ram's lecture notes in the Lectures and Calendar section below.

Review sessions will likely be held shortly before the midterm exams and the final exam. Specifics will be announced as each exam draws near.

Technology Policy

Numbers,
Computing with complex numbers,
Functions,
Function identities,
Trigonometric function identities.

Angles,
Computing trig functions,
Trig function identities,
Fun trigonometric function identities,
Inverse trig function identities,
Basic derivatives.

The chain rule,
Derivatives of the basic functions,
Computing some derivatives,
Correcting derivative identities,
Verifying derivative identities,
Derivatives at a point,
Derivatives with respect to functions,
Derivatives of parametric equations,
Implicit differentiation,
Derivatives with trigonometric functions,
Derivatives with exponentials and logs.

Expansions,
Derivatives at a point,
Differential equations,
Parametric equations,
Implicit differentiation,
Derivatives with inverse trig functions,
Derivatives with trigonometric functions,
Derivatives with exponentials and logs,
Derivatives with exponentials, logs and trig functions.

Evaluating limits when x \to 0,
Evaluating limits when x \to a,
Evaluating limits when x \to \infty,
Limits with exponentials and log functions,
Limits with trig functions,
Derivative limits,
Limits with inverse trig functions.

Graphs of the basic functions,
Where is a function continuous?
Existence of limits,
Increasing, decreasing, and concavity,
Graphing polynomials.

Graphing rational functions,
Graphing functions with square roots,
Graphing other functions,
Rolle's theorem and the mean value theorem,
Tangents and normals.

Tangents and normals,
Optimization,
Related rates.

Indefinite integrals.
Indefinite integrals with trigonometric functions,
Integrals with exponential functions and inverse functions,
Integration by substitution,
Integrals with trigonometric functions.

Integrals with exponential functions and logarithms,
Definite integrals,
Definite integrals with trigonometric functions,
Definite integrals with other functions,
The Fundamental Theorem of Calculus,
Finding areas bounded by lines and a curve,
Areas between curves.

Volumes by washers,
Finding volumes by cylindrical shells,
Practical volumes.

Length of a plane curve,
Surface area,
Center of mass,
Average value of a function.

Motion,
Applications of the exponential function,
Logarithmic differentiation,
l'Hopital's rule.

Derivatives with all functions mixed together,
Integrals with mixed functions,
Areas of regions,
Different types of volume problems.