MATH 103X: Syllabus and Homework assignments

Math 103X -- Announcements

Office Hour: Monday 1-3pm (or by e-mail appointment)
Class webpage: www.math.duke.edu/~anda/103X/

Homework: Homework Assignments will be given each daily, and collected the following Tuesday before class. No unexcused late homework will be accepted. The lowest homework grade will be droped.

Classroom change: Math Physics, Room 005.

Math 103X -- Course Outline and Homework Assignments

Tu, Aug 24: Introduction to Vector Algebra: Vectors, Dot Products
Homework Assignment 1A -- Due Tuesday, August 31st, at the begining of the class
- Read: Chapter 1, sections 1.1 and 1.3 in your textbook;
- Solve:
  - section 1.1: 3e, 4b, 5, 7, 10, 12b, 12d, 14, 15, 16, 20;
  - section 1.3: 2, 4, 6, 13, 14, 15, 19.
Th, Aug 26: Dot products and Cross Products
Homework Assignement 1B -- Due Tueday, August 31st, at the begining of the class
- Read: section 1.4 and pages 10 -- 15 in your textbook;
- Solve:
  - section 1.3: 16, 17, 21, 23, 27;
  - section 1.4: 10, 13, 17, 18, 21, 22, 29.
Tu, Aug 31: Lines and Planes
Homework Assignement 2A -- Due Tuesday, September 7th, at the begining of the class
- Read: section 1.2 and section 1.5;
- Solve: section 1.2: 14, 16, 17, 19, 21, 23, 24, 34, 35.
Th, Sep 2: Intersection Problems
Homework Assignement 2B -- Due Tuesday, September 7th,at the begining of the class
- Read: section 1.5.
- Solve:
  - section 1.5: 2, 3, 5, 6, 7, 9, 10, 11, 12, 14, 17, 18, 19;
  - section 1.8: 4, 5, 8, 11, 17.
Tu, Sept 7th: Distance Problems, Curves.
Homework Assignement 3A -- Due Tuesday, September 14th
- Read: Section 3.1 pages 184-189
- Solve:
  - section 1.5: 22, 23, 24, 26, 28, 29;
  - section 1.8: 15, 16;
  - page 195-196: 6, 9, 10
Th, Sept 9th: The Geometry of Curves
Tu, Sept 14th: Test #1, Curvature and Acceleration
Homework Assignement 4A -- Due Tuesday, September 21st
- Read: Section 3.1, and 3.2
- Solve:
  - section 3.1: 19, 28;
  - section 3.2: 3, 7, 8, 11, 16, 17, 25, 32.
Th, Sept 16th: Functions of Several Variables

Due Tuesday, September 21st

Read: Section 2.1
Solve: Section 2.1: 2, 9, 12, 25, 27, 29, 33, 34, 42, 45, 46.

Tu, Sept 21th: Limits of functions
Homework Assignement 5A -- Due Tuesday, September 28th
- Read: 2.2
- Solve: section 2.2: 3, 5, 7 -- 15, 23, 31, 33;
Th, Sept 23th: Continuity and Partial derivatives
Homework Assignement 5B -- Due Tuesday, September 28th
- Read: 2.3 and 2.5
- Solve: section 2.3: 11, 17, 18, 21, 23, 31, 32, 36, 48.
Tu, Sept 28th: Diffrentiability and the Chain Rule
Homework Assignement 6A -- Due Tuesday, October 5th
- Read: 2.3 and 2.5
- Solve:
  - Section 2.3: 29, 33, 35
  - Section 2.5: 1, 2, 4, 7, 8, 11.
Tu, Sept 30th
Homework Assignement 6B -- Due Tuesday, October 5th
- Read: 2.4 and 2.6
- Solve:
  - Section 2.4: 11, 13, 18, 19, 20, 21
  - Section 2.6: 3, 5, 12, 13, 15, 17, 30
Tu, Oct 5th: Extema of Functions
Homework Assignement 7 A-- Due Tuesday, October 19th
- Read: 4.2 and 4.3
- Solve:
  - Section 4.2: 3, 17, 21, 22, 23, 28, 31, 32, 36, 41
  - Section 4.3: 9, 18, 20
Th, Oct 7th: Test #2.
Th, Oct 14th: Taylor Theorem (4.1) and Extrema of Functions (4.2)
Homework Assignement 7 B-- Due Tuesday, October 19th
- Read: Section 4.1
- Solve from Section 4.1: 11, 15, 27b, 30, 31, 32, 33, 34
Tu, Oct 19th:More on Extrema of Functions (4.2)
Homework Assignment 8A -- Due Tuesday, October 26th
- Read: Section 4.2 and 4.3
- Solve:
  - Section 4.2: 33, 39, 43, 44;
  - Section 4.3: 8, 17, 24, 27, 29;
  - Setion 4.5: 3, 7, 9.
Th, Oct 21st: Applications of Extrema (4.4)
Homework Assignment 8B -- Due Tuesday, October 26th
- Read: Section 4.4
- Solve:
  - The remaining problems on your worksheet;
  - Section 4.4: 9, 10, 12, 14;
  - Section 4.5: 15, 16, 17, 21.
Tu, Oct 26th: Areas and Volumes (5.1)
Homework Assignment 9A -- Due Tuesday, November 2nd
- Read: Section 5.1
- Solve (Section 5.1.): 2, 5, 7, 8, 11, 13.
Th, Oct 28th: Double Integrals and Fubini's Theorem (5.2 and 5.3)
Homework Assignment 9B -- Due Tuesday, November 2nd
- Read: Section 5.2
- Solve (Section 5.2): 6, 9, 13, 16, 17, 18, 20, 21, 27, 28(b), 29.
Tu, Nov 2nd: Triple Integrals (5.4)
Homework Assignment 10A --
Due Tuesday, November 9th, Collected Nov/16th
- Read: 5.3 and 5.4
- Solve:
  - Section 5.3: 1, 9, 10, 12, 14,
  - Section 5.4: 4, 8, 12, 13, 15, 19, 20, 21.
Th, Nov 4th: Change of Variable (5.5).
Homework Assignment 10A --
Due Tuesday, November 9th, Collected Nov/16th
- Read: Section 5.5, page 334 -- 341
- Solve:
  - Section 5.5: 1, 2, 3, 4, 5, 6, 7
  - Section 5.7(page 371): 1, 2, 3(a), 9, 18.
Tu, Nov 9th: Review for Test #3.
Th, Nov 11th: Test #3.
Tu, Nov 16th: The Change of Variable Theorem
Homework Assignment 11A -- Due Tuesday, November 23rd.
- Read: Section 5.5
- Solve (Section 5.5.): 8, 10, 11, 13, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30.
Th, Nov 18th: Line Integrals and Green's Theorem.
Homework Assignment 11B -- Due Tuesday, November 23rd.
- Read: Section 6.1 and 6.2
- Solve:
  - Section 6.1: 3, 5, 8, 11, 12,15, 24
  - Section 6.2: 1, 3, 5.
Tu, Nov 23rd: Surface Integrals and Stoke's Theorem.
- Read: 7.1, 7.2
- Solve:
  - Section 6.2: 6, 7, 14;
  - Section 6.4: 14, 19;
  - Section 7.1: 1, 2, 6, 11, 12, 13, 17, 18, 20, 23, 24;
  - Section 7.2: 1, 2, 4, 5, 7, 10, 12, 17.
Tu, Nov 30th: More on Line and Surface Integrals; Review.
- Read: Section 3.4, Section 6.2, Section 7.3
- Solve
  - Section 3.4: 1, 3, 7, 8, 12, 13
  - Section 7.3: 1, 2, 5, 6, 8, 10, 11, 20, 23, 26.
Th, Dec 2nd: Test #4 (35 minutes); discussion of the test.

Link back to MATH 103X main page and announcements