Math 220 - Analytic Geometry and Calculus 1

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Instructors

Meetings

Course Syllabus

Exams

Day-by-day schedule

Scheduled topics are provisional until covered. All homework assignments are from Stewart “Essential Calculus: Early Transcendentals“. Homeworks assinged on Monday and Tuesday are due in Friday's recitation. Homeworks assigned on Thursday and Friday are due in Tuesday's recitation.

Day Topics Homeworks
May 9th Introduction to functions (1.1-2) Sect. 1.1: 2, 19, 23, 60, 61
Sect 1.2: 2, 35, 39, 48, 52.
May 10th Introduction to limits (1.3) Sect. 1.3: 3, 6, 8, 12.
May 12th Calculating limits (1.4), limits involving infinity (1.6) Sect. 1.4: 1, 9, 12, 18, 43
Sect 1.6: 2, 13, 23, 25, 26.
May 13th Continuity (1.5) Sect. 1.5: 4, 5, 9, 28, 38.
May 16th Introduction to derivatives (2.1-3) Sect. 2.1: 4, 5, 15, 47
Sect. 2.2: 3, 17, 20, 33
Sect. 2.3: 17, 22, 31, 36, 43
May 17th Product and quotient rules Sect. 2.4: 5, 7, 17, 33, 42
May 19th Chain rule (2.5) and implicit differentiation (2.6) Sect. 2.5: 10, 21, 36, 37, 51 (due 5/24)
Sect. 2.6: 3, 7, 8, 19, 25 (due 5/24)
May 20th Related rates (2.7) Sect. 2.7: 1, 10, 13, 15, 17 (due 5/24)
May 23rd Introduction to exponential and logarithmic functions (3.1-4) Sect. 3.1: 15, 24, 26 (due 5/27)
Sect. 3.2: 48, 53, 61, 63, 64 (due 5/27)
Sect. 3.3: 1, 33, 35, 36, 47 (due 5/27)
Sect. 3.4: 2, 3 (due 5/27)
May 24th Inverse trigonometric and hyperbolic functions (3.5-6) Sect. 3.5: 6b, 19, 20, 25, 26 (due 5/27)
Sect. 3.6: 11, 28, 31, 32, 25 (due 5/27)
May 26th l'Hospital's Rule (3.7) Sect. 3.7: 10, 11, 21, 23, 32, bonus: 39, 40
(due 6/3)
May 27th Maximum and minimum values (4.1) Sect. 4.1: 8, 14, 25, 35, 36 (due 6/3)
May 30th Memorial day: no class
May 31st Mid-term exam
June 2nd Mean Value Theorem (4.2) Bonus problems Sect 4.2: 6, 16, 22a, 25, 26 (due 6/7)
June 3rd Curve sketching (4.3-4) Sect 4.4: 2, 3, 11, 12, 15, 35, 38, 42 (due 6/7)
June 6th Introduction to integration (4.7, 5.1-3) Sect 4.7: 7, 8, 9, 13, 16, 18 (due 6/10)
Sect 5.1: 1 (due 6/10)
Sect 5.2: 5, 15, 16, 17 (due 6/10)
Sect 5.3: 7, 8, 10, 14, 25 (due 6/10)
June 7th Optimization and Newton's method (4.5-6) Sect. 4.5: 9, 10, 11, 13 (due 6/10)
Sect. 4.6: 5, 9, 10 (due 6/10)
June 9th The fundamental theorem of calculus (5.4) Sect. 5.4: 5, 8, 9, 11, 13 (due 6/14)
June 10th Techniques of integration (5.5, 6.1, 6.2) Sect. 5.5: 8, 10, 11, 18, 20, 29, 31, 41 (due 6/14)
Sect. 6.1: 4, 10, 13, 23, 25 (due 6/14)
June 13th Review
June 14th Review
June 16th Final exam!



Updated by Chris Kapulkin, June 4th, 2011.