Calculus I (Fall 2009)
This is the class webpage for my Calculus I classes (MATH 1610-123 and MATH 1610-130) for Fall 2009.
Class Resources:
- Calculus I Fall 2009 Syllabus
- Practice exams:
- Practice Test 1
- Practice Test 2
- Practice Uniform Midterms
- Practice Test 3
- Practice Test 4 (This is what your test will be like. I changed #10 to a different kind of problem.)
- Practice Uniform Final
- Tutor List
Class Outline:
- Week 1 (August 17-21)
- Day 1
Syllabus, Course Overview - Day 2
Precal review (1.1-1.2)
HW: (1.1) 1,3,5,11,19,21
(1.2) 1,3,5,13,17 - Day 3
Precal review (1.3-1.5)
HW: (1.3) Draw a unit circle.
(1.4) 11,13,15,17,19
(1.5) 45,47,51,53 - Day 4
Practice Quiz, Rates of change and tangent lines (2.1)
HW: (2.1) 1,3,5
- Day 1
- Week 2 (August 24-28)
- Day 1
Limits (2.2)
HW: (2.2) 1,3,11-25odd,29-37odd,47-53odd - Day 2
Limits cont. (2.2), One-sided limits (2.4)
HW: (2.2) 27,39-45odd
(2.4) 1,3,7,21-29odd,33,35 - Day 3
Limits at infinity (2.4), Infinite limits and vertical asymptotes (2.5)
HW: (2.4) 51-65odd
(2.5) 1-11odd,27-37odd (just find asymptotes) - Day 4
Practice Quiz
- Day 1
- Week 3 (August 31-September 4)
- Day 1
Test review - Day 2
Test review - Day 3
Test 1 - Day 4
Return test (Last day to drop with no record on transcript)
- Day 1
- Week 4 (September 7-11)
- Day 1
Labor Day Holiday! - Day 2
Tangent and derivative at a point (2.7), Derivative as a function (3.1)
HW: (2.7) 11,17,19 (3.1) 5,7 - Day 3
Differentiation rules [Constant, Power, Constant multiple, Sum, e^x] (3.2)
HW: (3.2) 1-11odd,29-35odd,39,41 - Day 4
Differentiation rules [Product, Quotient] (3.2)
HW: (3.2) 13-27odd,39-45odd
- Day 1
- Week 5 (September 14-18)
- Day 1
Derivative as a Rate of Change (3.3), Quiz
HW: (3.3) 1,3,5 (only parts a & b)
- Day 2
Derivatives of trigonometric functions (3.4)
HW: (3.4) 1-25odd - Day 3
Chain rule (3.5)
HW: (3.5) 23-65odd - Day 4
Chain Rule examples
- Day 1
- Week 6 (September 21-25)
- Day 1
Quiz - Day 2
Implicit differentiation (3.6)
HW: (3.6) 1-23 (odd) (Just find 1st derivative.) - Day 3
Logarithmic differentiation (3.7)
HW: (3.7) 11-65, 89-95 (odd) - Day 4
Inverse trigonometric functions (3.8)
HW: (3.8) 21-41 (odd)
- Day 1
- Week 7 (September 28-October 2)
- Day 1
Review Practice Test 2 - Day 2
Test review - Day 3
Test 2 - Day 4
Return tests
- Day 1
- Week 8 (October 5-9)
- Day 1
Midterm review, Uniform Midterm (8pm @ Haley 3195) - Day 2
Return midterms (10/7: Last day to drop with a W) - Day 3
Related rates (3.9)
HW: (3.9) 13-23,31,33odd
More practice problems: http://www2.scc-fl.edu/lvosbury/calculusI_folder/RelatedRateProblems.htm - Day 4
Related rates continued (3.9)
- Day 1
- Week 9 (October 12-16)
- Day 1
Extreme Values of Functions
HW: (4.1) 15-53odd (Just find absolute max/min)
- Day 2
Graphing (4.3) - Day 3
Graphing (4.4)
HW: (4.4) 9-41odd - Day 4
Graphing Examples
- Day 1
- Week 10 (October 19-23)
- Day 1
Indeterminate Forms and L’Hopital’s Rule (4.6)
HW: (4.6) 1-55odd
Turn in Practice Quiz 10-19 - Day 2
Indeterminate Forms and L’Hopital’s Rule cont. (4.6) - Day 3
Applied Optimization (4.5)
HW: http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/maxmindirectory/MaxMin.html - Day 4
Applied Optimization cont. (4.5)
- Day 1
- Week 11 (October 26-30)
- Day 1
Word problems! - Day 2
Antiderivatives (4.8)
HW: (4.8) 1-69odd - Day 3
Test Review - Day 4
Test 3
- Day 1
- Week 12 (November 2-6)
- Day 1
Return Tests - Day 2
Initial Value Problems and Indefinite Integrals
HW: (4.8) 25-43,47,49,55,61-69odd (integrals)
89-95,99-107odd (IVPs) - Day 3
Definite Integrals - Day 4
Definite Integrals (cont.)
HW: (5.4) 1-31odd
- Day 1
- Week 13 (November 9-13)
- Day 1
Fundamental Theorem of Calculus & Total Area Under Curves
HW: (5.4) 35-55odd - Day 2
Substitution Rule - Day 3
Substitution Rule (cont.)
HW: (5.5) 1-7odd,13-53odd,
59-63odd (initial value problems) - Day 4
Area Between Curves
- Day 1
- Week 14 (November 16-20)
- Day 1
Area Between Curves (cont.) - Day 2
Test Review
- Day 3
Test Review - Day 4
Test 4
- Day 1
- Thanksgiving Break!
- Week 15 (November 30-December 4)
- Day 1
Return Tests, Summation - Day 2
Riemann Sums
- Day 3
Final Exam Review - Day 4
Final Exam Review
- Day 1
- Week 16 (December 7)
- Day 1
Final Exam Review
- Day 1
- Uniform Final in Haley 3195 (December 14, 7:00-9:30 PM)