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MATHEMATICS 1210 CALCULUS I

For information on the organization of this course see: Organization. For current and past homework assignments, see Assignments.

For the solutions to the first exam see Exam 1 Solutions.

For the solutions to the second exam see Exam 2 Solutions.

SYLLABUS
Wed Aug 25 0.1 Straight Lines
Fri Aug 27 0.2 Slope
Mon Aug 30 0.3 Derivatives of polynomials
Tue Aug 31 Problems
Wed Sep 1 0.4 Antiderivatives and the Fundamental Theorem
Fri Sep 3 0.5 Definite Integrals and Area
Mon Sep 6 LABOR DAY
Tue Sep 7 Problems
Wed Sep 8 3.1 Tangents qnd Velocity
Fri Sep 10 3.2 Derivatives
Mon Sep 13 3.3 Rules for finding derivatives
Tue Sep 14 Problems
Wed Sep 15 2.3 Trigonometric functions
Fri Sep 17 3.4 Derivatives and Integrals of Trig functions
Mon Sep 20 3.6, 3.10 Liebnitz notation and differentials
Tue Sep 21 Problems
Wed Sep 22 EXAM I
Fri Sep 24 3. 5 Chain Rule
Mon Sep 27 3.7 Higher order derivatives
Tue Sep 28 Problems
Wed Sep 29 3.8 Implicit differentiation
Fri Oct 1 3.9 Related rates
Mon Oct 4 4.8, 4.1 Mean Value Theorem, Monotonicity and Critical Points
Tue Oct 5 Problems
Wed Oct 6 4.2 Monotonicity and Concavity
Fri Oct 8 FALL BREAK
Mon Oct 11 4.3 Local Maxima and Minima
Tue Oct 12 Problems
Wed Oct 13 4.4 More Max-Min problems
Fri Oct 15 4.5 Economic applications
Mon Oct 18 Review
Tue Oct 19 EXAM II
Wed Oct 20 4.6, 4.7 Limits at infinity, graphing
Fri Oct 22 4.7 Sophisticated graphing
Mon Oct 25 5.1, 5.2 Antiderivatives and separable variables
Tue Oct 26 Problems
Wed Oct 27 5.3 Sums and sigma notation
Fri Oct 29 5.4,5.5 Definition of definite integrals
Mon Nov 15.6 Fundamental theorem of Calculus
Tue Nov 2 Problems
Wed Nov 3 5.7 Properties of the Integral
Fri Nov 5 5.8 Evaluation of definite integrals
Mon Nov 8 6.1 Areas of planar regions
Tue Nov 9 Problems
Wed Nov 10 6.1 Areas of planar regions
Fri Nov 12 6.2 Volumes of Solids
Mon Nov 15 6.3 Volumes of Solids; Shells
Tue Nov 16 Problems
Wed Nov 17 Review
Fri Nov 19 EXAM III
Mon Nov 22 6.4 Arc Length
Tue Nov 23 Problems
Wed Nov 24 THANKSGIVING
Fri Nov 26 THANKSGIVING
Mon Nov 29 6.5 Work
Tue Nov 30 Problems
Wed Dec 1 6.6 Centers of Mass
Fri Dec 3 6.6 Moments of Inertia
Mon Dec 6 Review: Differentiation, velocity, graphing
Tue Dec 7 Review: Integration, Areas, Volumes
Wed Dec 8 Problems
Fri Dec 10 Practice Final Exam

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Department of Mathematics
University of Utah
155 South 1400 East, JWB 233
Salt Lake City, Utah 84112-0090
Tel: 801 581 6851, Fax: 801 581 4148
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