(C) 2011/2012 Oksana Shatalov, all rights reserved.

Math 151 Lecture Notes

Spring 2012

This page will be updated as the semester progresses.

Exam I Lectures

WEEK 1

Appendix D (Review of Trigonometry) (Bring it to first recitation on Tuesday 1/17/2012)
Section 1.1 (Vectors) Completed Notes

WEEK 2

Section 1.2 Dot product Completed Notes
Section 1.3 (Vector functions) Completed Notes
Section 2.2 (The limit of a function) Completed Notes

WEEK 3

Section 2.3 (Calculating Limits Using the Limit Laws) Completed Notes
Section 2.5 (Continuity) Completed Notes
Section 2.6 (Limits at Infinity: Horizontal Asymptotes) Completed Notes

WEEK 4

Section 2.7 (Tangents, velocities, and other rates of change) Completed Notes

Section 3.1 (Derivative) Completed Notes

Exam II Lectures

Section 3.2 (Differentiation formulas) Completed Notes

WEEK 5

Section 3.3 (Rates of Change) Completed Notes

Section 3.4 (Derivatives of the trigonometric functions) Completed Notes

WEEK 6

Section 3.5 (Chain rule) Completed Notes

Section 3.6 (Implicit differentiation) Completed Notes

Section 3.7 (Derivatives of vector-valued functions) Completed Notes

WEEK 7

Section 3.8(Higher derivatives) Completed Notes

Section 3.9 (Tangents of parameterized curves) Completed Notes

Section 3.10 (Related rates) Completed Notes

WEEK 8

Section 3.11(Differentials and approximation) Completed Notes

Section 4.1 (Exponential functions) Completed Notes

Exam III Lectures

Section 4.2 (Inverse functions) Completed Notes

WEEK 9

Section 4.3(Logarithmic functions) Completed Notes

Section 4.4 (Derivatives of logarithms) Completed Notes

WEEK 10

Section 4.5 (Exponential growth and decay) Completed Notes

Section 4.6(Inverse trigonometric functions, ) Completed Notes

Section 4.8 (L'Hospital's Rule) Completed Notes

WEEK 11

Section 5.1 (Graphical interpretation of the derivative) Completed Notes (done during recitation)

Section 5.2( Maximum and Minimum values) Completed Notes

WEEK 12

Section 5.3 (Derivatives and shapes of curves) Completed Notes

Section 5.5 (Applied max/min) Completed Notes

Section 5.7( Antiderivatives) Completed Notes

New Material for the Final Test

WEEK 13

Section 6.1 (Sigma Notation) Completed Notes

Section 6.2 (Area) Completed Notes

WEEK 14

Section 6.3 (Definite integral) Completed Notes

Section 6.4 (The Fundamental Theorem of Calculus) Completed Notes