Lectures: MW 11:30am-12:45 pm in CHB C114,
Discussion: F 8:30-9:45am (section 1005) or 10:00-11:15am (section 1006) CHB C148
Instructor: Daniel Corey, daniel.corey[at]unlv.edu
Graduate Assistant: Alexander Sampson, sampsa4[at]unlv.nevada.edu
Office Hours: Monday 2-4:00pm, Wednesday 8:45-9:45am. (my office is CDC-09 912)
Textbook: Essential Calculus: Early Transcendentals 2nd ed. by J. Stewart. Chapters 10-13
Exam 1: October 4 (during discussion). Covers 10-11.
Exam 2: November 15 (during discussion). Covers 12.1-3, 13.1-5
Final: Dec 11 (Wednesday) 10:10AM - 12:10PM. Location CHB C114. Cumulative.
The underlined part refers to the section in the text, and the numbers refer to the exercises at the end of the respective section.
Assignment 1 10.2 16, 18; 10.3 16, 22, 32; 10.4 4, 20, 30; 10.5 4, 26, 34. Due Sept. 6
Assignment 2 10.7 4, 18, 20, 22, 28, 50; 10.8 4; 10.9 2, 10, 12. Due Sept 13
Assignment 3 11.1 16, 26, 42, 44, 46; 11.2 4, 10, 12, 22, 24. Due Sept 20
Assignment 4 11.3 4, 8, 16, 40, 54; 11.5 2, 8, 18; 11.6 2, 4, 20, 34. Due Sept 27
Assignment 5 11.7 4, 6, 10, 26, 28; 11.8 2, 6, 8 Do not turn in.
Assignment 6 12.1 8, 12, 14, 22, 32; 12.2 4, 6, 8, 22 Due Oct 11
Assignment 7 12.2 16, 18, 28, 38; 12.3 8, 10, 14, 16, 26 Due Oct 18
Assignment 8 13.1 12, 14, 16, 18, 28; 13.2 6, 14, 18, 22, 26 (no graphing). Due Oct 25
Assignment 9 13.3 4, 6, 12, 18, 20, 24; 13.4 2, 6, 10. Due Nov 1
Assignment 10 13.4 12, 18, 28; 13.5 2, 4, 10, 12, 18, 30. Due Nov 8
Assignment 11 13.6 4, 12, 14, 16, 20, 22, 42; 13.7 22, 24, 26, 28 Due Nov 22
Assignment 12 13.8 2, 6, 12, 16; 12.5 8, 12, 18; 12.6 2, 4, 6, 18 Due Nov 27
Assignment 13 12.7 2, 6, 8, 10, 12, 22, 38; 13.9 2, 8, 12, 26 Do not turn in
Below is the plan for the semester. I will try my best to stick to this schedule, but it may be modified as necessary. Take this as a rough outline for the semester; if a topic is not explicitly mentioned here, this does not mean it is or is not covered.
Dates: Aug. 26-30
Topics: Overview of Calculus III, 3D-geometry, vectors, dot products and projections, cross products, lines & planes, distance from line to plane.
Skipped: Physics applications, torque.
Dates: Sept. 4 - Sept. 6 (No class Sept. 2, Labor day)
Topics: Vector-valued functions, parameterized curves, coordinatewise differentiation and integration, arc-length, velocity and acceleration.
Skipped: Section 10.6, using computers to draw space curves, curvature, normal and binormal vectors, tangent and normal components of acceleration, Kepler's laws.
Dates: Sept. 9 - Sept. 13
Topics: Functions of several variables, graphs, level curves, limits, continuity.
Skipped: The δ-ε definition of limits.
Dates: Sept. 16 - Sept. 20
Topics: Partial derivatives, higher order derivatives, equality of mixed partial derivatives, chain rule, implicit differentiation, directional derivatives, gradient, tangent plane.
Skipped: Linear approximation, differentials, partial differential equations.
Dates: Sept. 23- Sept. 27
Topics: Local and absolute minimum and maximum, second derivative test, Lagrange multipliers with one constraint.
Skipped: Lagrange multipliers with more than one constraint.
Dates: Sept 30 - Oct. 4
Topics: Iterated integrals, Fubini's theorem. Review and catch up. Exam 1 during your discussion on Friday.
Skipped: Riemann sums, midpoint rule.
Dates: Oct. 9 - Oct. 13
Topics: Double integrals over non-rectangular regions, double integrals in polar coordinates.
Skipped: Applications of double integrals (12.4)
Note: We will cover triple integrals in Week 13.
Dates: Oct. 14 - Oct. 18
Topics: Vector fields, gradient fields, line integrals of vector fields.
Skipped: Line integrals of scalar fields.
Dates: Oct. 21 - Oct. 23 (No discussion Oct. 25, Nevada day)
Topics: Fundamental theorem of line integrals, independence of path for line integrals of gradient fields, Green's theorem.
Skipped: Conservation of energy, simply connected regions.
Dates: Oct. 28 - Nov. 1
Topics: more Green's theorem, curl and divergence.
Dates: Nov. 4 - Nov. 8
Topics: Parametric surfaces, surface area, surface integrals of vector fields.
Skipped: Surface integrals of functions.
Dates: Nov. 13 - Nov. 17 (No class Nov 11, Veterans day)
Topics: Review and catch-up, Exam 2 during your discussion.
Dates: Nov. 18 - Nov. 22
Topics: Stokes' theorem, triple integrals, iterated integrals and Fubini's theorem, volume, triple integrals in cylindrical coordinates.
Skipped: Riemann sums.
Dates: Nov. 25 - Nov 27 (No discussion Nov 30, Thanksgiving recess)
Topics: Triple integrals in spherical coordinates, divergence theorem, concluding remarks.
Skipped: general change of variables formula (12.8)
Review problems.