As suggested by the catalog description (below), this 4-credit course focuses on techniques and applications of single-variable integral calculus. For detailed information and policies, please read the Course Syllabus.
Integration, applications of integration, especially to differential equations, calculus of exponential functions, sequences, series, Taylor polynomials and series. Contains a one-hour laboratory component.
Need Tutoring?
- CASA (rumor has it Kelly is awesome!)
- Tutoring in ST 207 – 9-28-2011 (Francisco and Patrick)
Working Calendar for Calculus II
Plans change often, so check with classmates and read the class posts for more information about assignments and activities in class.
Unit 1
| Date | TOPIC | CONTENT | TEXTBOOK | HOMEWORK |
| W 8/24 | Introduction | Syllabus | 3.1-3.5, 4.8 |
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| F 8/26 | Antiderivatives | Lecture | 4.8 |
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| M 8/29 | Definite Integrals | Lecture/Activity | 5.3 |
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| W 8/31 | Fundamental Theorem | Lecture | 5.4 |
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| F 9/2 | Basic Integration | Quiz 1 | 4.8-5.4 |
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| W 9/7 | Basic Integration | Lecture | 4.8-5.4 |
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| F 9/9 | Substitution | Lecture | 5.5 |
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| M 9/12 | Substitution | Activity | 5.5 |
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| W 9/14 | Area Between Curves | Quiz 2 | 5.6 |
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| F 9/16 | Logs as Integrals | Lecture | 5.7 |
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| M 9/19 | Comprehensive | Review Activity | 4.8-5.7 | |
| W 9/21 | Comprehensive | Exam #1 | 4.8-5.7 |
Unit 2
| Date | TOPIC | CONTENT | TEXTBOOK | HOMEWORK |
| F 9/23 | Surfaces and Solids | Lecture | 6.1-6.4 | |
| M 9/26 | Volume of the Torus | Interactive Lecture | 6.1-6.2 | |
| W 9/28 | Arc Length of Parametric Curves | Lecture, Pop Quiz | 6.3 | |
| F 9/30 | Length of an Asteroid | Quiz | 6.3-6.4 |
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| M 10/3 | Integration by Parts | Lecture | 7.1 | |
| W 10/5 | Integration by Parts | In-Class Activity | 7.1 |
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| F 10/7 | Trig Integrals | Lecture, Pop Quiz | 7.2 | |
| M 10/10 | Improper Integrals | Lecture | 7.7 | |
| W 10/12 | Improper Integrals | Interactive Lecture | 7.7 |
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| F 10/14 | Trig Substitution | Lecture | 7.3 | |
| M 10/17 | Trig Substitution | Lecture | 7.3 |
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| W 10/19 | Partial Fractions | Activity | 7.4 | |
| F 10/21 | Choosing a Technique | Online Activity | 7.1-7.5 | |
| M 10/24 | Choosing a Technique | Activity | 7.1-7.5 | |
| W 10/26 | Integration Applications | Income Streams | see the web |
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| F 10/28 | Integration Applications | Work | 6.6 | |
| M 10/31 | Integration Applications | Newton’s Law of Cooling | 6.5 | |
| W 11/2 | Comprehensive | Review Activity | 4.8-7.7 | |
| F 11/4 | Comprehensive | Exam #2 |
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Unit 3
| Date | TOPIC | CONTENT | Textbook | HOMEWORK |
| M 11/7 | Sequence Limits | Lecture | 8.1,8.2 | |
| W 11/9 | Series Notation | Interactive Lecture | 8.7 | |
| F 11/11 | Series Convergence | Lecture | 8.2 | |
| M 11/14 | Sequence & Series Notation | Lecture | 8.1, 8.2 |
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| W 11/16 | The Sum of Reciprocal squares. | Interactive Lecture | 8.3 | |
| F 11/18 | Harmonic and Alternating Harmonic Series | Lecture | ||
| M 11/21 | Taylor Series | Lecture | 8.5-8.6 | |
| W 11/23 | Comprehensive | Exam 3 |
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| M 11/28 | Recursive Sequences | Interactive Lecture | 8.1 |
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| W 11/30 | Series Estimation | Quiz | 8.7-8.10 | |
| F 12/2 | Polar Equations | Lecture | 9.1-9.2 | |
| M 12/5 | Comprehensive | Review Activity | 4.8-9.2 | |
| F 12/9 | Comprehensive | Final Exam 8:00-10:30am | 4.8-9.2 |
Class Posts
Final Exam Study Guide – Calculus II
Dec02
Instructions for the Final Exam The final exam is comprehensive and counts for 20% of the course grade. The exam has 12 exercises for 100 points and must be completed during 8-10:30 on 12/9/11. You may use a calculator with factory-shipped programs, 1 side of a 8.5 by 11 inch page written in your own…
Exam 3 in Calculus II
Nov18
Exam 3 in Calculus II was a mashup of integration content from Exams 1 and 2. The blank exam is below, and (to encourage studying for the final exam) I won't be releasing the answer key. Math 2414 - Exam 3 - Integration The exam includes 6 items very similar to those on Exams 1…
Exam 2 – Calculus II
Nov04
Exam 2 was very challenging. I'll post more information after grading the tests over the weekend, but in the meantime I'd ask you to carefully work through the reasoning on the Answer Key for Exam 2. Math 2414 - Exam 2 - Applied Integration - Answers Key Math 2414 - Exam 2 - Applied Integration…
Exam 2 Study Guide – Calculus II
Oct28
Instructions Exam scores count for 30% of your grade (there will be two or three). The exam has 8 exercises for 100 points and is designed to be completed in 50 minutes. You may use a calculator with factory-shipped programs, 1 side of a 8.5 by 11 inch page written in your own handwriting, and…
Gateway Exam
Oct28
Calculus II at TAMUCC includes a high stakes integration exam with a required 80% level of proficiency. Please see the department's Gateway Exam Guidelines and the Lab Syllabus for more information. Gateway Exam 1 Gateway Exam 1 - Answers Gateway Exam 2 Gateway Exam 2 -Answers Practice Genuine practice works for things like this. Seriously.…
Generalized Integration by Parts
Oct05
This activity is designed to help you build a general formula for the integrals of $x^n ln x$ and $x^n sin x$ using integration by parts. After doing some of the smaller powers, you may be able to see a pattern. Generalized Integrals Activity
Stack of Integrals for Exam 2 in Calculus II
Sep28
Your entry-ticket for Exam 2 is your hand-written step-by-step solutions for at least 60 of the exercises in the following stack of integrals. Stack of Integrals for Exam 2 Techniques used in the integrals include: Substitution Integration by Parts Trigonometric Substitution Partial Fraction Decomposition Improper Integration Rules Simplify expressions and give exact answers when possible.…
Exam 1
Sep21
Exam 1 focused on the principles of basic integration up to integration by substitution. Download the Exam Math 2414 - Exam 1 - Basic Integration Math 2414 - Exam 1 - Answer Key Summary of Exam Results Sample Size 19 Max 114 Min 28 Mean 79 Median 87 Mode 87 A 6 B 5 C…
Exam 1 Study Guide
Sep16
The exam study guide contains example problems and very important details about expectations and guidelines for the exam. Please work through the problems for class on Monday. Download the Math 2414 - Exam 1 Study Guide - Fall 2011 Integration Calculator
Quiz 2 – Area between Curves
Sep14
This take-home quiz asks you to use your understanding of integration by substitution to compute the area of several regions. The quiz includes the formula for the area between two curves. Download Quiz 2 - Area Between Curves