(C) 2012/2013 Oksana Shatalov, all rights reserved.

Math 151 Honors Sections 201&202

Lecture Notes

Math 151H Fall 2012

This page will be updated as the semester progresses.

Exam I Lectures

WEEK 1

Appendix D (Review of Trigonometry) (Also Bring it to first recitation on Tuesday 9/28/12)

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

WEEK 4

Section 2.6 (Limits at Infinity: Horizontal Asymptotes) Completed Notes

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

Section 3.1 (Derivative) Completed Notes

Exam II Lectures

WEEK 5

Section 3.2 (Differentiation formulas) Completed Notes
Section 3.3 (Rates of Change) Completed Notes

WEEK 6

Section 3.4 (Derivatives of the trigonometric functions) Completed Notes

Section 3.5 (Chain rule) Completed Notes

Section 3.6 (Implicit differentiation) Completed Notes

WEEK 7

Section 3.7 (Derivatives of vector-valued functions) Completed Notes
Section 3.8(Higher derivatives) Completed Notes

Section 3.9 (Tangents of parameterized curves) Completed Notes

WEEK 8

Section 3.10 (Related rates) Completed Notes

Section 3.11(Differentials and approximation) Completed Notes

Section 4.1 (Exponential functions) Completed Notes

Exam III Lectures

WEEK 9

Section 4.2 (Inverse functions) Completed Notes
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

WEEK 11

Section 4.8 (L'Hospital's Rule) Completed Notes
Section 5.1 (Graphical interpretation of the derivative) Completed Notes
Section 5.2 (Maximum and Minimum values) Completed Notes

Section 5.3 (Derivatives and shapes of curves) Completed Notes

WEEK 12

Section 5.5 (Applied max/min) Completed Notes
Section 5.7( Antiderivatives) Completed Notes
Section 6.1 (Sigma Notation) Completed Notes

WEEKS 13&14

Section 6.2 (Area) Completed Notes

New Material for Final Exam

Section 6.3 (Definite integral) Completed Notes

Section 6.4 (The Fundamental Theorem of Calculus) Completed Notes