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Instructor: Yevgeniy Kovchegov
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e-mail:
kovchegy
@math.
oregonstate.edu
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Office: Kidder 368C
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Office Phone No: 7-1379
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Office Hours: MWF 10:00 am - 11:00 am
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Homeworks and quizzes 30%
Midterm 30%
Final 40%
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Place and time: MWRF 11:00 am to 11:50 am, room Kidder 238.
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Textbook: W. Briggs and L. Cochran, Single Variable Calculus early transcendentals
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Learning goals: We plan to cover chapters 5, 6, 7, and parts of 10 of the textbook. Topics will include finite integrals, elementary applications to area, force, and work. Integral tables and basic techniques of integration, calculus of logarithmic and exponential functions, polar coordinates, applications to areas, volumes, force, work, and growth and decay problems.
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Prerequisites: MATH 251 and Honors College approval required.
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Syllabus: .doc
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Homework: There will be seven homework assignments. The assignments will be collected at the beginning of the class on Fridays.
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Homework #1 (due Friday, October 5): p.317 #25, 32(d), 33(c,d,h), 36; pp.331-332 #9, 24, 28; p.346 #26;
Homework #2 (due Friday, October 12): p.301 #20, 26, 40; pp. 347 -348 # 32, 34, 38, 78, 88; p. 364 #14, 26, 38;
Homework #3 (due Friday, October 19): p.364 #42, 51, 54, 64; pp.388-390 #6, 12, 15; p.400 #8, 10;
Homework #4 (due Friday, October 26): p.400 #12, 14; p.458 #8, 10, 16, 24, 32;
Homework #5 (due Friday, November 9): p.418 #4, 8; p.466 #6, 10, 14, 32, 42; p.473 #16, 18;
Homework #6 (due Wednesday, November 21): p.473 #20, 22, 24; pp.483-484 # 12, 16, 22, 30; p.510 #6, 30;
Homework #7 (due Friday, November 30): pp.510-511 #8, 10, 16, 20, 22, 32, 34, 50, 52;
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Quizzes: There will be five (plus or minus) unannounced 10-20 minute quizzes.
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Midterms: There will be a midterm exam on Friday, November 2.
The exam is closed books. However a 8.5 by 11 inch sheet with HANDWRITTEN notes on both sides is allowed. No scientific calculators and other devices with built in calculus tools will be allowed.
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Final Exam: Wednesday, December 5th, 12:00 pm - 1:50 pm Location Kidder 238
The exam is closed books. However a 8.5 by 11 inch sheet with HANDWRITTEN notes on both sides is allowed. In addition, you can bring the 8.5 by 11 inch sheet with notes you used for the midterm. No scientific calculators and other devices with built in calculus tools will be allowed.
Review session: Tuesday, December 4, 12:00 pm - 1:50 pm, in Kidder 238
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Schedule:
Monday, September 24 Approximating areas under curves. Review of sigma notations for the sums. Section 5.1
Wednesday, September 26 Sigma notations for the sums. Examples. Arithmetic sum. Geometric sum. Partitions. Left and right Riemann sums. Riemann sums. Definite integral. Sections 5.1 and 5.2
Thursday, September 27 Arithmetic sum, geometric sum, differentiation, and limits. Sections 5.1 and 5.2
Friday, September 28 Net area. Definite integral. Example: computing an integral. Sections 5.2 and 5.3
Monday, October 1 The area function. Fundamental Theorem of Calculus (part I). Examples. Section 5.3
Wednesday, October 3 Antiderivatives. Fundamental Theorem of Calculus (part II). Examples. Sections 4.8 and 5.3
Thursday, October 4 Examples. Definite integrals using limits. Sections 5.2 and 5.3
Friday, October 5 Substitution rule (a.k.a. change of variables). How notations help. Examples: computing an integral via substitution. Section 5.5
Monday, October 8 Substitution rule (a.k.a. change of variables). Examples. Section 5.5
Wednesday, October 10 Integrating trigonometric functions. Area of a circle. Examples. Sections 5.5, 7.2 and 7.3
Thursday, October 11 Examples of computing integrals via substitution rule. Homework discussion. Section 5.5
Friday, October 12 Area of a region between two curves. Volume by slicing. Sections 6.2 and 6.3
Monday, October 15 Volume by slicing. Examples. Section 6.3
Wednesday, October 17 Volume by slicing. Volume of a pyramid. Examples. Section 6.3
Thursday, October 18 Examples. Homework discussion.
Friday, October 19 Surface of a sphere - different approaches. Section 6.3
Monday, October 22 Another proof of the second part of the Fundamental Theorem of Calculus. Integration by parts. Examples. Sections 5.3 and 7.1
Wednesday, October 24 Integration by parts. Examples. Section 7.1
Thursday, October 25 Examples. Homework discussion.
Friday, October 26 Lengths of curves. Section 6.5
Monday, October 29 Trigonometric integrals. Trigonometric substitutions. Examples. Sections 7.2 and 7.3
Wednesday, October 31 Trigonometric integrals. Trigonometric substitutions. Examples. Sections 7.2 and 7.3
Thursday, November 1 Midterm review. Examples.
Friday, November 2 Midterm
Monday, November 5 Solutions to midterm problems. Examples. Sections 7.2 and 7.3
Wednesday, November 7 Trigonometric integrals. Trigonometric substitutions. Examples. Sections 7.2 and 7.3
Thursday, November 8 Examples. Homework discussion.
Friday, November 9 Trigonometric integrals. Trigonometric substitutions. Examples. Sections 7.2 and 7.3
Monday, November 12 Midterm retake
Wednesday, November 14 Partial fractions. Examples. Section 7.4
Thursday, November 15 Integrating partial fractions. Examples. Section 7.4
Friday, November 16 Integrating partial fractions. Examples. Section 7.4
Monday, November 19 Partial fractions. Improper integrals. Unbounded integrands. Examples. Sections 7.4 and 7.7
Wednesday, November 21 Improper integrals. Unbounded integrands. Examples. Sections 7.4 and 7.7
Monday, November 26 Improper integrals. Unbounded integrands. Examples. Sections 7.4 and 7.7
Wednesday, November 28 Improper integrals. Unbounded integrands. Examples. Sections 7.4 and 7.7
Thursday, November 29 Examples. Homework discussion.
Friday, November 30 Final exam review.
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