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Department policies

Academic integrity policy

Guide to Student Resources

Instructor:

Nándor Sieben

"Are you ready for calculus"

Answers to "Are you ready for calculus"

Please purchase a copy of the textbook MAT 136 Calculus I Lecture Notes. It is available in the bookstore.

Alternate online books:

NAU version of Whitman

original Whitman

CLP

Openstax

Michael Corral

Gilbert Strang

Paul Dawkins

Any standard printed Calculus book is useful.

There is a class discuss forum on BbLearn.

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

Please review the test taking etiquette.

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, equation of tangent line, local linearization, direction and convexity

derivative of basic functions, constant, power, exponential, logarithm, trigonometric, inverse trigonometric, absolute value, (including "proofs"); derivative rules, constant multiple, sum, difference, product, reciprocal, quotient, inverse (including "proofs"); definition of the natural base, limits involving \( (1+x)^{1/x} \) and \( \frac{\sin(x)}{x} \); log trick; sketching the derivative function given the graph of a graph;

L'Hospital, function analysis, derivatives of hyperbolic and inverse hyperbolic functions, optimization, implicit differentiation, related rates, Rolle's Theorem, Mean Value Theorem,

definite integral, geometric interpretation, Riemann left and right sums, Fundamental Theorem of Calculus (two versions), antiderivatives, indefinite integral, substitution, integration by parts

Homework:

Webwork

Our department

Free on campus tutoring

Links:

Calculus problems with solutions.

Mooculus lectures.

Online function grapher.

Graphcalc, a free graphing calculator

Calculus tools on the web.

LyX a word processor for writing mathematics

Wolfram Alpha.

Interesting articles:

Lockhart's Lament

Math Skills Suffer in U.S., Study Finds

Digital Overload: Your Brain On Gadgets