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CALCULUS I

Here you will find information concerning the Calculus I (1210-4) class for the Spring 2004 Semester, which meets on Monday, Tuesday, Wednesday, and Friday 11:50AM-12:40PM in ST 205.

If you have any doubts, problems, concerns, etc., feel free to send a message to the instructor.


News
and Announcements

  • Final Exam Results: The final exam will be ready for pick up in my office on Tuesday 5/4 (together with class grades). I will be in my office between 9 and 12. If you can't make it, try to contact me by email to fix another time this week (after that, I may not be in town). After May 14, ask for your exam at the Math Department's Front Desk.


Class by Class

  • 4/27: Lengths of curves (Section 6.4).
  • 4/26: Completed the discussion of volumes (Section 6.3).
  • 4/23: Continued the discussion of volumes (Sections 6.2 and 6.3).
  • 4/21: After discussing the last test, continued the discussion of volumes (Section 6.2).
  • 4/20: Test 3 was given.
  • 4/19: Area and volumes using definite integrals (Sections 6.1 and 6.2).
  • 4/16: Area of planar figures (Section 6.1).
  • 4/14: Additional methods for computing integrals (Section 5.8).
  • 4/13: Quiz 10 was given. Fundamental theorem of calculus (Section 5.7).
  • 4/12: Fundamental theorem of calculus. (Section 5.6).
  • 4/9: Completed the discussion of definite integrals (Section 5.5).
  • 4/7: Area, Riemann sums and definite integrals (Sections 5.4 and 5.5).
  • 4/6: Quiz 9 was given. Notion of area (Section 5.4).
  • 4/5: Sequences and sums (Section 5.3). Also, Test 3 was announced for April 20.
  • 4/2: Differential equations (Section 5.2).
  • 3/31: Test 2 was discussed and continued with the discussion of antiderivatives (Section 5.1).
  • 3/30: Test 2 was given.
  • 3/29: Antiderivatives and integration (Section 5.1).
  • 3/26: The mean value theorem (Section 4.7).
  • 3/24: Graphing using calculus tools (Section 4.6).
  • 3/23: Quiz 8 was given. Applications to economy (Section 4.5).
  • 3/22: Max/Min problems (Section 4.4).
  • 3/12: Local extrema (Section 4.3).
  • 3/10: Monotonicity and concavity of functions (Section 4.2).
  • 3/9: Quiz 7 was given. Completed the discussion of maximum and minimum values (Section 4.1).
  • 3/8: After discussing a related rates problem, started the discussion of maximum and minimum values (Section 4.1).
  • 3/5: Applications of derivatives to approximation problems (Section 3.10).
  • 3/3: Related rates and applications of derivatives to approximation problems. (Sections 3.8 and 3.9). Also, Test 2 was announced for Tuesday, March 30.
  • 3/2: Quiz 6 was given. Completed the discussion of implicit differentiation and started the section on related rates. (Sections 3.8 and 3.9).
  • 3/1: Interpretations of the derivative. Implicit differentiation. (Sections 3.7 and 3.8).
  • 2/27: Leibniz notation and higher derivatives (Sections 3.6 and 3.7).
  • 2/25: The chain rule (Section 3.5).
  • 2/24: Quiz 5 was given. Derivative of trigonometric functions (Section 3.4).
  • 2/23: Properties of derivatives (Section 3.3).
  • 2/20: Test 1 was returned. Continued the discussion of derivatives. (Section 3.2 from the textbook).
  • 2/18: Test 1 was given.
  • 2/17: After solving several problems we reviewed the notion of slope, derivative and differentiable function. (Sections 3.1 and 3.2 from the textbook).
  • 2/13: Completed the discussion of continuous functions. (Section 2.9 from the textbook).
  • 2/11: Continuous functions. (Section 2.9 from the textbook).
  • 2/10: Quiz 4 was given. Completed the discussion of infinite limits and asymptotes. (Section 2.8 from the textbook).
  • 2/9: Completed the discussion of limits of trigonometric functions. Limits at infinity. (Sections 2.7 and 2.8 from the textbook).
  • 2/6: Limits of trigonometric functions. (Section 2.7 from the textbook).
  • 2/4: Properties of limits (Section 2.6 from the textbook). Also, Test 1 was announced for Wednesday 2/18.
  • 2/3: Quiz 3 was given. Completed the discussion of the notion of limit. (Section 2.5 from the textbook).
  • 2/2: Continued the discussion of limits. (Sections 2.4 and 2.5 from the textbook).
  • 1/30: Completed the discussion of trigonometric functions and introduced the notion of limit. Examples. (Sections 2.3 and 2.4 from the textbook).
  • 1/28: Trigonometric functions. (Section 2.3 from the textbook).
  • 1/27: Quiz 2 was given. Operations with functions. Composition and decompositions. (Section 2.2 from the textbook).
  • 1/26: Functions: domain, graphs, etc. (Section 2.1 from the textbook).
  • 1/23: Area and definite integrals. Notion of function (Section 5 in the "Polynomial Calculus" notes and 2.1 from the textbook).
  • 1/21: Quiz 1 was given. Application of indefinite integrals to problems involving acceleration and velocity. Measuring areas. (Sections 4 and 5 in the "Polynomial Calculus" notes).
  • 1/20: Antiderivatives and indefinite integral. (Section 4 in the "Polynomial Calculus" notes).
  • 1/15: Properties of the derivative. Derivative of polynomials. Velocity and acceleration. (Section 3 in the "Polynomial Calculus" notes).
  • 1/13: Notion of derivative. Examples. (Sections 2 and 3 in the "Polynomial Calculus" notes).
  • 1/13: Completed the discussion of straight lines and studied the notion of slope for a parabola (Sections 1 and 2 in the "Polynomial Calculus" notes).
  • 1/12: First day of class. Discussion of the course (see details on the syllabus). Equations of a line (Section 1 in the "Polynomial Calculus" notes).

Assigned Homework

Rules:The following homework is assigned but will neither be collected nor graded. Exercises marked with a * are "more optional" than the others.

  • Chapter 6: section 1: 1, 3, 5, 7, 9, 11, 15, 17, 19, 21, 23, 29, 35, *36, *37; section 2: 1, 3, 5, 7, 9, 11, 13, 19, 21, 23, 27, *28, 33; section 3: 1, 3, 5, 11, 13, 15; section 4: 5, 7, 11, 13, 15, 23, 25, 30.
  • Chapter 5: section 1: 1,5, 7, 9, 13, 15, 17, 19, 21, 25, 27, 29, 31, 33, *39; section 2: 1, 5, 7, 9, 13, 15, 19, *35; section 3: 1, 3, 5, 9, 11, 13, 21, 25, 27, 29, 35, *36, 41; section 4: 1, 3, 7, 9, 11, 13, 15; section 5: 1, 5, 7, 9, 11, 17, 19, *22, 23a; section 6: 1, 5, 7, 9, 13, 15, 17, 19, 21, *23, 29; section 7: 1, 3, 5, 7, 9,, 11, 15, 17, 23, 31, 33, 35, 47, *58, 59; section 8: 1, 3, 9, 15, 17, 21, 27, 29, 33, 37, 45, 47, 49, 53, 57, 63.
  • Chapter 4: section 1: 1, 3, 7, 9, 11, 13, 15, 17, 19, 23, 29; section 2: 5, 7, 9, 13, 17, 23, 25, 29, 31, 43, 49; section 3: 1, 2, 3, 5, 7, 11, 13, 15, 17, 23, 29; section 4: 1, 5, 7, 13, 19, 25, 33; section 5: 1, 7, 9, 14, *15; section 6: 1, 7, 9, 11, 17, 19, 29, 33; section 7: 1, 3, 7, 9, 11, 17, 23, 29, 31, 51.
  • Chapter 3: section 1: 1, 7, 11, 15, 17, 23; section 2: 7, 13, 15, 19, 25, 27, 29, 35, 37, 41, 47, *48; section 3: 7, 15, 17, 27, 31, 33, 37, 43, 45, 49, 51; section 4: 1, 3, 5, 11, 15, 19, 21; section 5: 1, 5, 9, 11, 13, 15, 19, 21, 25, 27, 29, 33, 35, 41, *51; section 6: 1, 7, 11, 13, 15, 21, 23, 25, 27, 29; section 7: 3, 5, 7, 11, 13, 19, 25, 27, 31, 35, 39, 41; section 8: 1, 3, 5, 7, 9, 13, 15, 17, 19, 21, 29, 33, 37, *41; section 9: 1, 3, 5, 7, 9, 15, 21; section 10: 3, 5, 9, 17, 19, 21, 25, 27, 32, 33, 37.
  • Chapter 2: section 1: 5, 7, 13, 15, 19, 21, 35, 37, 41, 47; section 2: 1, 3, 7, 9, 11, 13, 21, 23, 25, 31, 33; section 3: 1, 3, 5, 9, 11, 15, 18, 19, 21, 33, 35, 45, 47, 55*; section 4: 3, 5, 7, 9, 13, 17, 19, 23, 29, 31, 37, 40; section 5: 3, 7, 9, 11, 17, 18, 19, *25; section 6: 3, 5, 7, 11, 15, 19, 21, 25, 35, 37, 43; section 7: 1, 3, 5, 7, 11, 15; section 8: 1,5, 7, 11, 15, 17, 21, 23, 25, 33, 39, *49; section 9: 1, 3, 5, 11, 13, 15, 17, 19, 37, 39, 43, *49, *55, *57.
  • Polynomial Calculus: Sections 1, 2, 3, 4, 5.

Other Stuff

Below you will find different references on the course (syllabus, etc.).


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