 | Syllabus: Click here for details in a PDF file |
|
|
Texts: (1) Single Variable Essential Calculus: Early Transcendentals (second edition, 2013) by Stewart |
|
Course Description: A continuation of Mathematics 30. Techniques and applications of integration; introduction to differential equations; improper integrals and indeterminate forms; infinite series and power series representation of a function. Applications to problems from the social and physical sciences. Prerequisite: Mathematics 30 or placement. |
|
Office Hours: MWF 10:00-11:00am @ Adams 206 and by appointment |
|
Grading: first midterm (20%), second midterm (20%), final exam(30%), class participation (5%), and homework and quiz (25%). The letter grade will be with an approximately 90(A)-80(B)-70(C)-60(D) scale. |
|
Policy: NO make-up exams without doctor's excuse. Late Homework will be no credit. |
|
Tentative Schedule: updated regularly |
The HW problems need to be turned in. HW due every Wednesday in class. It includes all assignments given in the previous week (Mon, Wed, Fri).
| Monday | Wednesday | Friday |
| Sept 3 | Sept 5 (Sept 4: Autumn Classes Begin)
Chapter 4: Integrals 4.1 Areas and Distances HW 4.1: 3,5(a,b)
|
Sept 7
4.1 Areas and Distances HW 4.1:5(c,d), repeat 5 for Trapezodial approximation,7,9,11 |
| Sept 10
4.2 The Definite Integral |
Sept 12
4.2 The Definite Integral |
Sept 14
4.3 Evaluating Definite Integrals
|
| Sept 17(last day to add courses)
quiz: 5.1-5.2 4.4 The Fundamental Theorem of Calculus 4.5 The Substitution Rule |
Sept 19
4.4 The Fundamental Theorem of Calculus 4.5 The Substitution Rule
|
Sept 21
6.1 Integration by Parts 6.2 Trigonometric Integrals and Substitutions |
| Sept 24
6.2 Trigonometric Integrals and Substitutions
|
Sept 26
6.3 Partial Fractions quiz: 5.3-5.5
|
Sept 28
6.3 Partial Fractions 6.4 Integration with Tables and Computer Algebra Systems
|
| Oct 1
6.4 Integration with Tables and Computer Algebra Systems
|
Oct 3
Review
|
Oct 5
First Exam: 4.1 - 6.2 |
| Oct 8
6.5 Approximate Integration
|
Oct 10
(Low grade notices due to the Registrar) 6.6 Improper Integrals | Oct 12
6.6 Improper Integrals quiz: 6.3-6.5 |
| Oct 15
6.6 Improper Integrals
|
Oct 17
6.6 Improper Integrals quiz: 6.3-6.5 |
Oct 19
7.1 Areas Between Curves 7.2 Volume |
| Oct 22 & 23 (Fall Break)
|
Oct 24 (Note: Oct 25, last day to drop)
7.2 Volume
|
Oct 26
7.3 Volumes by Cylindrical Shells |
| Oct 29
7.3 Volumes by Cylindrical Shells |
Oct 31
quiz: 6.6-7.1 7.3 Volumes by Cylindrical Shells |
Nov 2
7.4 Arc Length
|
| Nov 5
7.4 Arc Length 9.2 Arc Length for parametric curves |
Nov 7
7.5 Area of a Surface of Revolution
|
Nov 9
Second Exam: 6.3 - 7.4
|
| Nov 12
7.6 Applications to Physics and Engineering
|
Nov 14
7.6 Applications to Physics and Engineering |
Nov 16
7.7 Differential Equations
|
| Nov 19
7.7 Differential Equations |
Nov 21
8.1: Sequence 8.2:Series |
Nov 23 (no classes,Thanksgiving Break)
|
| Nov 26
8.3: The integral and Comparison Tests |
Nov 28
8.4: Other Convergence Tests |
Nov 30
8.5 Power Series
|
| Dec 3
8.6: Representing Functions as Power Series quiz: 7.5-7.6 |
Dec 5
8.7: Taylor and Maclaurin Series | Dec 7
8.8: Application of Taylor Polynomials |
| Dec 10
Final Exam : 9:00am |
Dec 12
Guest lecture |
Dec 14
Guest lecture |
| Dec 17 Final Exams Week |
Dec 19 Final Exams Week |
Dec 21 Final Exams Week |
| Dec 24
|
Dec 26 (Dec 27, grades due to Registrar)
|
Dec 28
|