MAT 136 Calculus I

Calculators are not needed for the tests. Basic (not scientific) calculators are allowed. No other electronic devices or notes are allowed.

Test Etiquette

Test 1 Wednesday 9/16.

Review: basic algebra, systems of equations, exponential and logarithmic equations, inequalities, trigonometry, equations of lines, interval notation, basic functions, domain, range, graphs of functions, function algebra, function composition, inverse function, function transformation.
New material: average velocity, average rate of change, difference quotient, slope of secant line, instantaneous rate of change, slope and equation of tangent line, finding limits algebraically and graphically, local and global continuity, approximating derivatives numerically and graphically, finding the derivative using the limit definition, derivative function, sketching the derivative function given the graph of a function

Test 2 Wednesday 10/7

derivative of basic functions, constant, power, exponential, logarithm, trigonometric, inverse trigonometric, absolute value; derivative rules, constant multiple, sum, difference, product, reciprocal, quotient, inverse (including "proofs"); equation of tangent line; local linearization; log trick; sketching the derivative function given the graph of a graph

Test 3 Wednesday 11/4.

implicit differentiation, function analysis, optimization, L'Hospital, derivatives of hyperbolic and inverse hyperbolic functions, Rolle's theorem, mean value theorem,

Test 4 Monday 11/30

definite integral, geometric interpretation, Riemann left right and mid sums, fundamental theorem of calculus (two versions), antiderivatives, indefinite integral, substitution, integration by parts, applications of integral

The comprehensive final is during finals week. Please check the NAU schedule of finals.

Syllabus
University and Department Policies
Grades
Feel free to discuss the homework problems on the discussion forum. There is an extra credit assignment there due at the end of the first week.

Recommended text:
Online texts

Homework:
Webwork First assignment due Wednesday 11:00 PM.
Webwork syntax guide

Our department computer lab is in AMB 222.

Handouts:
Formulas
Answers for "Are you ready for calculus"
Mastery problems

Links:
Free on campus tutoring
Online function grapher.
Maxima, a free computer algebra system.
Graphcalc, a free graphing calculator
Calculus tools on the web.
LyX a word processor for writing mathematics

Interesting articles:
Lockhart's Lament
Math Skills Suffer in U.S., Study Finds