MAT 136h Calculus I
Academic integrity policy
"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 book:
Alternate location (hard copy can be ordered from this site)
local copy if the sites above are down.
Alternate online book:
Any standard printed Calculus book is useful.
Test dates are going to be announced here one week ahead of time:
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.
Test 1 Wednesday 9/28
Chapters 1 and 2:
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
Test 2 Monday 10/24
derivative of basic functions,
constant, power, exponential, logarithm, trigonometric, inverse trigonometric, absolute value (including "proofs");
constant multiple, sum, difference, product, reciprocal, quotient, inverse (including "proofs");
definition of the natural base, limits involving (1+x)^(1/x) and sin(x)/x;
log trick; sketching the derivative function given the graph of a graph;
Test 3 Thursday 11/10
Chapter 4 except 4.8:
L'Hospital, function analysis, derivatives of hyperbolic and inverse hyperbolic functions,
optimization, implicit differentiation, related rates
Test 4 Monday 12/5
4.8 and Chapter 5
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
scheduled during finals week in our usual room
Our department computer lab is in AMB 222.
Computers and free tutoring are also available in AMB 137 starting the second
week of classes.
Free on campus tutoring
Extra credit opportunity:
Problem Of The Week
Friday Afternoon Mathematics Undergraduate Seminar
Calculus problems with solutions.
Online function grapher.
Graphcalc, a free graphing calculator
Calculus tools on the web.
LyX a word processor for writing mathematics
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