Math151       Lecture Notes       Fall 2018

This page will be updated as the semester progresses.

Supplement I – Vectors Blank Notes      Completed Notes
Supplement I – The Dot Product Blank Notes      Completed Notes
Supplement I – Vector Functions and Parametric Curves Blank Notes      Completed Notes
Section 1.5 (Invers trig functions) Blank Notes      Completed Notes

Section 2.2 (The limit of a function) Blank Notes      Completed Notes
Section 2.3 (Calculating limits using the limit laws) Blank Notes      Completed Notes
Section 2.5 (Continuity) Blank Notes      Completed Notes
Section 2.6 (Limits at infinity; horizontal asymptotes) Blank Notes      Completed Notes
Section 2.7 (Derivatives and rates of change) Blank Notes      Completed Notes
Section 2.8 (The derivative as a function) Blank Notes      Completed Notes

Section 3.1 (Derivatives of plynomials and exponential functions) Blank Notes      Completed Notes
Section 3.2 (The product and quotient rules) Blank Notes      Completed Notes
Section 3.3 (Derivatives of trigonometric functions) Blank Notes      Completed Notes
Section 3.4 (The chain rule) Blank Notes      Completed Notes
Section 3.5 (Implicit defferentiation) Blank Notes      Completed Notes
Section 3.6 (Derivatives of logarithmic functions) Blank Notes      Completed Notes
Supplement II - Derivatives of Vector Functions Blank Notes      Completed Notes
Supplement II - Slopes and Tangents to Parametric Curves Blank Notes      Completed Notes
Section 3.7 (Rates of change in the natural and social sciences) Completed Notes
Section 3.8 (Exponential growth and decay) Blank Notes      Completed Notes
Section 3.9 (Related rates) Blank Notes      Completed Notes
Section 3.10 (Linear approximations and differentials) Blank Notes      Completed Notes

Section 4.1 (Maximum and minimum values) Blank Notes      Completed Notes
Section 4.2 (The mean value theorem) Blank Notes      Completed Notes
Section 4.3 (How derivatives affect the shape of a graph) Blank Notes      Completed Notes
Section 4.4 (Indeterminate forms and L'Hospitale's rule) Blank Notes      Completed Notes
Section 4.7 (Optimization problems) Blank Notes     Completed Notes
Section 4.9 (Antiderivatives) Blank Notes      Completed Notes

Section 5.1 (Areas and distances) Blank Notes      Completed Notes
Section 5.2 (The definite integral) Blank Notes      Completed Notes
Section 5.3 (The fundamental theorem of calculus) Blank Notes      Completed Notes
Section 5.4 (The indefinite integral and the net change theorem) Blank Notes      Completed Notes
Section 5.5 (The substitution rule) Blank Notes      Completed Notes