Course website for 16A Calculus for students of the Advanced Education Program

General information

Professor: Alexander Coward
Main course textbook: Calculus: An Applied Approach, 7th Edition, by R. E. Larson, B. H. Edwards (Houghton Mifflin Co., 2006)
Sections to be covered: 1.1-1.6; 2.1-2.8; 3.1-3.4; 3.6-3.8; 8.1-8.4.

Class information

This class runs from Monday, August 22nd until Friday October 9th. Classes are on Mondays and Wednesdays from 2pm until 4:30pm and on Tuesdays, Thursdays and Fridays from 9am until 12 noon. All classes take place in room D303.

Homework

Homework will be set each day and will be taken in at the start of the following class.

Assessment

There will be a test each Friday.

Syllabus

The syllabus for the course is everything covered in class. This is a list of the topics we will cover: The Real numbers. Functions, composition of functions, and inverse. The Cartesian plane, distance formula, midpoint formula, graphs, intercepts, circles, and lines. Limits. Asymptotes. Continuity. Slope of the tangent line. Definition of the derivative. Differentiability. Trigonometry (review). Constant rule, power rule, constant multiple rule, sum and differences rules. Average rate change, instantaneous rate of change, velocity, marginals in economics. Product and quotient rules. Derivatives or trig functions. Chain rule. General power rule. Higher order derivatives. Acceleration. Implicit differentiation. Related rates. Increasing and decreasing functions. Critical numbers. Relative extrema, the first-derivative test, absolute extrema. Concavity, points of inflection, the second-derivative test. Optimization problems. Sketching graphs.