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 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.

 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.

 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).

 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.

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

 The "Introduction to Polynomial Calculus" notes can be downloaded from here. This is a PDF file and you may need a PDF viewer (like the freely available Acrobat Reader) to view or print it. The solution for odd-numbered problems from the Polynomial Calculus notes can be found here. The syllabus (also in PDF and PS formats). Here you will find the "ultimate" guidelines for the course, textbook, schedule, final exam, etc. Quizzes: quiz 10 (solution), quiz 9 (solution), quiz 8 (solution), quiz 7 (solution), quiz 6 (solution), quiz 5 (solution), quiz 4 (solution), quiz 3 (solution), quiz 2 (solution), quiz 1 (solution).

 Official academic calendar, Spring 2004. Student Handbook. General Catalog. Campus map and building locator. University of Utah homepage.

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