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.

## Unit 1

 Date TOPIC CONTENT TEXTBOOK HOMEWORK W 8/24 Introduction Syllabus 3.1-3.5, 4.8 Read the syllabus Complete 9 of 11 derivatives.(due 8/26) Sign-up for the online homework F 8/26 Antiderivatives Lecture 4.8 complete the 4.8 HW (due 8/31) Complete 9 of 11 derivatives if you haven’t already. Read Sec. 4.8. M 8/29 Definite Integrals Lecture/Activity 5.3 Read Sec 5.3. Look-up the Evaluation Theorem Complete the 5.3 HW (due 9/2) W 8/31 Fundamental Theorem Lecture 5.4 Complete the 5.4 HW (due 9/12) Read Sec 5.4 Read over your notes to prepare for the Quiz. F 9/2 Basic Integration Quiz 1 4.8-5.4 Finish Quiz 1 and complete and work on online homework. W 9/7 Basic Integration Lecture 4.8-5.4 Prove Archimedes’ Formula for Area of a Parabolic Arch Complete the 5.4 and Basic Integration (5.1-5.4) HW (both due 9/12) F 9/9 Substitution Lecture 5.5 If you didn’t in class, complete the”Pop quiz” on integration by substitution M 9/12 Substitution Activity 5.5 Complete the 5.5 HW (due 9/16) Prepare for the quiz by practicing integration by substitution W 9/14 Area Between Curves Quiz 2 5.6 finish Quiz 2 F 9/16 Logs as Integrals Lecture 5.7 work on the Exam 1 Study Guide 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 Complete the 6.1 HW (due 9/30) Assignment: if you earned an “NP” on Exam 1, submit your hand-worked answer key by 9/30. 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 Watch what one of your classmates was doing in high school Complete the 6.2 & 6.3 HW (due 10/5) M 10/3 Integration by Parts Lecture 7.1 W 10/5 Integration by Parts In-Class Activity 7.1 Complete the 7.1 HW (due 10/10) Complete the In-class Activity (due 10/7) 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 Complete the 7.7 HW (due 10/17) Even millionaires make mistakes F 10/14 Trig Substitution Lecture 7.3 M 10/17 Trig Substitution Lecture 7.3 watch the two Khan Academy Videos on Trig Substitution Complete the 7.3 HW (due 10/24) 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 Ace the Gateway Test in Lab. See the Gateway practice tests. NOTE: Sample Exam 3 has been updated. Silly Video for Motivation 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 Note: we decided to change the date of Exam 2 on 10/28/11 Exam 2 Results

## 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 Complete the 8.1 and 8.2 HW HW (due 11/21) 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 see Exam 3 details M 11/28 Recursive Sequences Interactive Lecture 8.1 see more info on the Collatz Conjecture 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

## Final Exam Study Guide – Calculus II

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

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

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

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

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

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

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

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

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

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