Math 241 Section D1: Calculus III, Summer 2013

Instructor:  Hong  Liu
Office: 224 Illini Hall
Email: hliu36-at- illinois.edu
Time and place: MTWTF 11:00am- 12:20pm, 1064 Lincoln Hall
Office Hour: MWF 12:20pm- 1:00pm,

Mid-terms: On the Friday of 2nd, 4th and 6th week
Final exam: 1064 Lincoln Hall, 1-3pm on Saturday, August 3, 2013

Syllabus

Homeworks are online: WebAssign

Schedule

Week 1

June 10   Introduction (§12.1).   HW 1, due Thursday, June 13.

June 11   Vectors (§12.2) and dot product (§12.3). Lecture note 1 and 2.

June 12   projections (§12.3) and equation for lines (§12.5).   HW 2, due Friday, June 14.

June 13   equation for lines and planes (§12.5). Lecture note 3 and 4.   HW 3, due Monday, June 17.

June 14   cross product (§12.4).   HW 4, due Wednesday, June 19.

Week 2

June 17   cross product, triple product (§12.4). Lecture note 5 and 6.   HW 5, due Thursday, June 20.

June 18   functions with several variables (§14.1). Lecture note 7.

June 19   quadric surfaces (§12.6). Lecture note 8. The following sources could be helpful for graphing.

I: Guide to quadric surface.    II: 3D graphing tool.    III: Wolfram alpha.

June 20   Review for midterm 1. Here are previous midterms for practice.

2012 midterm 1 ,   Solutions;    2011 midterm 1 ,   Solutions;    2010 midterm 1 ,   Solutions

June 21   Midterm 1.    Solutions; In class! It covers Chapter 12 and §14.1

Week 3

June 24   Limits and continuity (§14.2). Lecture note 9.   HW 6, due Wednesday, June 26.   HW 7, due Thursday, June 27.

June 25   Partial derivatives (§14.3). Lecture note 10.   HW 8, due Friday, June 28.   HW 9, due Sunday, June 30.

June 26   Tangent planes and linear approximation (§14.4). Lecture note 11.

June 27   Chain rule (§14.5). Lecture note 12.   HW 10, due Sunday, June 30.

June 28   Chain rule and implicit differentiation (§14.5). Lecture note 13.   HW 11, due Monday, July 1.

Week 4

July 1   Directional derivatives and gradient vectors (§14.6). Lecture note 14.   HW 12, due Tuesday, July 2.

July 2   Review for midterm 2.

July 3   Midterm 2.    Solutions; In class! It covers §14.1 to §14.6

July 4th Break

Week 5

July 8   Local min/max via 2nd derivative test (§14.7). Lecture note 15.   HW 13, due Tuesday, July 9.

July 9   Absolute min/max (§14.7); Lagrange multipliers (§14.8). Lecture note 16.   HW 14, due Wednesday, July 10.

July 10   Vector functions, curves in space, length and curvature of a curve (Chapter 13). Lecture note 17.   HW 15, due Thursday, July 11.

July 11   Vector fields (§16.1); Integration along curves (§16.2). Lecture note 18.   HW 16, due Saturday, July 13.

July 12   Integrating Vector fields (§16.2); fundamental theorem of line integral (§16.3). Lecture note 19.   HW 17, due Sunday, July 14.

Week 6

July 15   Conservative vector fields (§16.3). Lecture note 20.   HW 18, due Wednesday, July 17.

July 16   Multivariable integral (§15.1,§15.2). Lecture note 21.   HW 19, due Thursday, July 18.

July 17   Integrating over more complicated regions; polar coordinates (§15.3,§15.4). Lecture note 22.   HW 20, due Sunday, July 21.

July 18   Review for midterm 3.

July 19   Midterm 3.    Solutions; In class! It covers §13.1-3 §14.7-8; §16.1-3; §15.1-4.

Week 7

July 22    Triple integral (§15.6). Lecture note 23.   HW 21, due Wednesday, July 24.

July 23    Cylindrical/Spherical coordinates (§15.7,8). Lecture note 24.   HW 22, due Thursday, July 25.

July 24    Green's Theorem (§16.4); Curves in space and tangent plane (§16.6). Lecture note 25.   HW 23, due Friday, July 26.

July 25    Surface integral (§16.7). Lecture note 26.   HW 24, due Saturday, July 27.

July 26    Flux and Divergence theorem in R^2 (§16.5/7). Lecture note 27.

Week 8

July 29    Flux and Divergence theorem in R^3 (§16.7/9) Curl of a vector field (§16.5). Lecture note 28.   HW 25, due Wednesday, July 31.

July 30    Stokes Theorem (§16.8). Lecture note 29.   HW 26, due Thursday, Aug 1.

July 31    Conservative vector fields in R^3 (§16.5). Lecture note 30.   HW 27, due Thursday, Aug 1.

Aug 1  Review for final. Practice final    Solutions;

Aug 2   Reading day.

Aug 3   FINAL BOSS! 1064 Lincoln Hall, 1-3pm