# Math 8 Calculus 2 Homepage
**Welcome to Math 8 Calculus 2 !**
(Refresh this page often for updates.)
![[---images/---assets/---icons/important-icon.svg]] **Important links**
- [[1 teaching/smc-summer-2023-math-8/smc-summer-2023-math-8-syllabus|Course syllabus]]
- [Math lab tutoring](https://www.smc.edu/student-support/academic-support/tutoring-centers/math-lab/)
![[---images/---assets/---icons/pencil-icon.svg]] **Assignments and reading**
- Week 1: Read chapter 6.
- [[1 teaching/smc-summer-2023-math-8/problems/week-1/week-1-tuesday-problems|week-1-tuesday-problems]]
- [[1 teaching/smc-summer-2023-math-8/problems/week-1/week-1-wednesday-problems|week-1-wednesday-problems]]
- [[1 teaching/smc-summer-2023-math-8/problems/week-1/week-1-thursday-problems|week-1-thursday-problems]]
- Week 2: Finish reading chapter 6, and chapter 7.
- [[1 teaching/smc-summer-2023-math-8/problems/week-2/week-2-monday-problems|week-2-monday-problems]]
- [[1 teaching/smc-summer-2023-math-8/problems/week-2/week-2-tuesday-problems|week-2-tuesday-problems]]
- [[1 teaching/smc-summer-2023-math-8/problems/week-2/week-2-wednesday-problems|week-2-wednesday-problems]]
- [[1 teaching/smc-summer-2023-math-8/problems/week-2/week-2-thursday-problems|week-2-thursday-problems]]
- Week 3: Finish reading up to 7.5, preview 7.7, 7.8 for next week.
- [[1 teaching/smc-summer-2023-math-8/problems/week-3/week-3-monday-problems|week-3-monday-problems]]
- Holiday Tuesday 7/4
- [[1 teaching/smc-summer-2023-math-8/problems/week-3/week-3-wednesday-problems|week-3-wednesday-problems]] **An interesting puzzle...(EXTRA CREDIT)**
- Week 4: Read 7.7, 7.8, and Chapter 11.
- [[1 teaching/smc-summer-2023-math-8/problems/week-4/week-4-monday-problems|week-4-monday-problems]]
- [[1 teaching/smc-summer-2023-math-8/problems/week-4/week-4-tuesday-problems|week-4-tuesday-problems]]
- [[1 teaching/smc-summer-2023-math-8/problems/week-4/week-4-wednesday-problems|week-4-wednesday-problems]]
- [[1 teaching/smc-summer-2023-math-8/problems/week-4/week-4-thursday-problems|week-4-thursday-problems]]
- Week 5: Read Chapter 11.
- [[1 teaching/smc-summer-2023-math-8/problems/week-5/week-5-monday-problems|week-5-monday-problems]]
- [[1 teaching/smc-summer-2023-math-8/problems/week-5/week-5-tuesday-problems|week-5-tuesday-problems]]
- [[1 teaching/smc-summer-2023-math-8/problems/week-5/week-5-wednesday-problems|week-5-wednesday-problems]]
- [[1 teaching/smc-summer-2023-math-8/problems/week-5/week-5-thursday-problems|week-5-thursday-problems]]
- Week 6: Finish reading chapter 11.
- [[1 teaching/smc-summer-2023-math-8/problems/week-6/week-6-monday-problems|week-6-monday-problems]]
- **EXTRA CREDIT PUZZLE:** [[1 teaching/summer program 2023/temp/cypher|cypher]]
- Make your cheat sheet for Exam 2. If you really need two pages, you may.
- Turn in your homework up to Week 6 Monday by Exam 2!
- Week 7: Finish reading chapter 11, start 10.1, 10.2, 10.3
- **MONDAY EXAM 2** (Do corrections by next Monday)
- [[1 teaching/smc-summer-2023-math-8/problems/week-7/week-7-tuesday-problems|week-7-tuesday-problems]]
- **EXTRA CREDIT:** [[1 teaching/smc-summer-2023-math-8/problems/week-7/extra-credit-problem-area|Find area of something geometric. ]]
- **EXTRA CREDIT:** [[1 teaching/smc-summer-2023-math-8/problems/week-7/extra-credit-problem-number|Find these numbers.]]
- [[1 teaching/smc-summer-2023-math-8/problems/week-7/week-7-wednesday-problems|week-7-wednesday-problems]]
![[---images/---assets/---icons/chalkboard-icon.svg]] **Class notes**
- Week 1
- [[1 teaching/smc-summer-2023-math-8/notes/week-1/week-1-tuesday-notes|week-1-tuesday-notes]]
- [[1 teaching/smc-summer-2023-math-8/notes/week-1/week-1-wednesday-notes|week-1-wednesday-notes]]
- [[1 teaching/smc-summer-2023-math-8/notes/week-1/week-1-thursday-notes|week-1-thursday-notes]]
- Week 2
- [[1 teaching/smc-summer-2023-math-8/notes/week-2/week-2-monday-notes|week-2-monday-notes]]
- [[1 teaching/smc-summer-2023-math-8/notes/week-2/week-2-tuesday-notes|week-2-tuesday-notes]]
- [[1 teaching/smc-summer-2023-math-8/notes/week-2/week-2-wednesday-notes|week-2-wednesday-notes]]
- [[1 teaching/smc-summer-2023-math-8/notes/week-2/week-2-thursday-notes|week-2-thursday-notes]]
- Week 3
- [[1 teaching/smc-summer-2023-math-8/notes/week-3/week-3-monday-notes|week-3-monday-notes]]
- **No class Tuesday 7/4**
- [[1 teaching/smc-summer-2023-math-8/notes/week-3/week-3-wednesday-notes|week-3-wednesday-notes]]
- [[1 teaching/smc-summer-2023-math-8/notes/week-3/week-3-thursday-notes|week-3-thursday-notes]] **EXAM 1 COMMENTARIES.**
- Week 4 (Improper integrals, sequences and series)
- [[1 teaching/smc-summer-2023-math-8/notes/week-4/week-4-monday-notes|week-4-monday-notes]]
- [[1 teaching/smc-summer-2023-math-8/notes/week-4/week-4-tuesday-notes|week-4-tuesday-notes]]
- Read Ch 11.1, 11.2 for Wednesday and Thursday
- Week 5 (Tests for convergence of series)
- Read Ch 11.3 (integral test) and 11.4 (comparison tests) for Monday
- Read Ch 11.4 (comparison tests) and 11.5 (alternating series test) for Tuesday
- Read Ch 11.6 (ratio and root tests) for Wednesday
- Do the practice problems in Ch 11.7 (strategy for testing series)
- Week 6 (Power series)
- Read Ch 11.8 (power series) for Monday
- Read Ch 11.9 (representations of power series) for Tuesday
- Review day for Exam 2 on Wednesday
- Review day for Exam 2 on Thursday (Next Monday in class)
- Week 7
- **Monday. EXAM 2 IN CLASS**
- Read Ch 11.8, 11.9, 11.10 (Taylor and Maclaurin series) for this week.
- We will briefly touch on the topics in chapter 8 and 10.
- Week 8
- Monday: Chapter 8 or 10 if we didn't get to it
- Tuesday Review for final
- Wednesday Review for final
- Thursday **FINAL EXAM IN CLASS**. 10 problems, cumulative.
- ....and you're done!!
![[---images/---assets/---icons/dates-icon.svg]] **Dates**
Exam 1 July 6 (Week 3 Thursday)
Exam 2 July 31 ( Week 7 Monday)
Final Exam August 10 (Week 8 Thursday)
No class on Monday June 19th Holiday (Week 1)
No class on Tuesday July 4th Holiday (Week 3)
![[---images/---assets/---icons/question-icon.svg]] **Tentative Schedule**
Classes on MTWR, from 6:30pm to ~9:15pm
Break times 7:20pm to 7:30pm, 8:20pm to 8:30pm
- Week 1: Chapter 6 Inverse functions, transcendental functions, and L'Hospital rule
- Monday 6/19 no class
- Tuesday
- Brief introduction to Calculus 2
- (6.1) Inverse function and their derivatives
- (6.2$\ast$) Definition of natural logarithm by calculus
- Wednesday
- (6.3$\ast$) Definition of natural exponential function
- (6.4$\ast$) General Logarithmic and Exponential Functions
- (6.5) Exponential Growth and Decay
- Thursday
- (6.6) Inverse trigonometric functions
- (6.7) Hyperbolic Functions
- (6.8) Indeterminate Forms and L’Hospital’s Rule
- Week 2: Chapter 7 Integration techniques
- Monday
- (7.1) Integration by Parts
- (7.2) Trigonometric Integrals
- Tuesday
- (7.3) Trigonometric Substitution
- Wednesday
- (7.4) Integration of Rational Functions by Partial Fractions
- Thursday
- (7.5) Strategy for Integration / Practice
- Week 3: Chapter 7 Integration techniques
- Monday
- (7.7) Approximate Integration
- (7.8) Improper Integrals
- Tuesday July 4th Holiday, no class
- Wednesday
- Review / Practice
- **Thursday July 6**
- **Exam 1**
- Week 4: Chapter 11 Sequences, series, and Power series
- Monday
- (11.1) Sequences
- Tuesday
- (11.2) Series
- Wednesday
- (11.3) The Integral Test and Estimates of Sums
- Thursday
- (11.4) The Comparison Tests
- Week 5: Chapter 11 Sequences, series, and Power series
- Monday
- (11.5) Alternating Series and Absolute Convergence
- Tuesday
- (11.6) The Ratio and Root Tests
- Wednesday
- (11.7) Strategy for Testing Series / Practice
- Thursday
- (11.8) Power Series
- Week 6: Chapter 11 Sequences, series, and Power series
- Monday
- (11.9) Representations of Functions as Power Series
- Tuesday
- (11.10) Taylor and Maclaurin Series
- Wednesday
- (11.11) Applications of Taylor Polynomials
- Thursday
- Review
- Week 7 Chapter 8 and 10 Applications of integration, Parametric equations
- **Monday July 31**
- **Exam 2**
- Tuesday
- (8.2) Area of a Surface of Revolution
- (8.3) Applications to Physics and Engineering
- Wednesday
- (10.1) Curves Defined by Parametric Equations
- Thursday
- (10.2) Calculus with Parametric Curves
- Week 8 Chapter 10 Polar coordinates
- Monday
- (10.3) Polar Coordinates
- Tuesday
- (10.4) Areas and Lengths in Polar Coordinates
- Wednesday
- Review
- **Thursday 8/10**
- **Final Exam**