MATH1300-401, Summer 2008

Textbook: Anton, Bivens, & Davis: Calculus: Early Transcendentals, 8th ed. (Wiley)

Prerequisites: MATH1150 or the high school level equivalent (algebra, geometry, trigonometry).

Mon, Jun 2: Class introduction. Start Section 1.1: Functions. Be able to do examples 9 and 10.

Tue, Jun 3: Homework/examples from 1.1. Start Section 1.3 (followed directly from text). Make sure you understand transformations of graphs. We also covered completing the square (both for solving a quadratic and putting a quadratic into vertex form).

Wed, Jun 4: We covered the remaining portions of Section 1.3 (domain, even and odd functions) and then we covered families of functions as found in Section 1.4. In addition, we covered long division of polynomials. Here are some notes on long division.

Thu, Jun 5: After finishing some homework examples, we did remaining topics from Chapter 1: inverse functions (we didn't cover much on inverse trig functions - we will cover that as needed), exponential and logarithmic functions, and parametric equations. Tomorrow, we will have our first quiz, which will have a problem much like those from Section 1.1, specifically the applicational problems such as 27 and 29 (creating the function is the most important part, don't worry about approximating the low/high points for now). We'll also start the first "new" section tomorrow, 2.1 on limits and continuity.

Fri, Jun 6: We started limits today. I covered what is in the text in Section 2.1. We will continue with the more formal sections on limits next week, starting with 2.1. We had a quiz today. The quiz will be returned on Tuesday and will be discussed in class on Monday.

Mon, Jun 9: Continued our discussion of limits, more formally. We covered Section 2.2 in the text. There will be a quiz tomorrow on exponents and logarithms.

Tue, Jun 10: We covered Section 2.3. We will not be covering Section 2.4 and tomorrow will start Section 2.5 (continuity). The quiz today is a take-home quiz. Do the following problems and turn them in tomorrow, making sure to show all work: Section 1.5 Exercises 14, 25, 30 and Section 1.6 Exercises 21, 24 and 31.

Wed, Jun 11: Section 2.5 (continuity) was covered up through a basic introduction of the Intermediate Value Theorem. We will cover that more tomorrow, plus the next section. I will also post solutions to the quiz tomorrow, which will be returned on Friday.

Thu, Jun 12: Solutions to Quiz 2 are posted. Today, we covered the Intermediate Value Theorem and Squeezing Theorem from Section 2.5 and we covered most of 2.6. We will continue tomorrow and cover the beginning of Chapter 3. There will be a take-home quiz tomorrow.

Fri, Jun 13: For the quiz, do problems 6, 8, 10, 12 from the Chapter 2 Review Exercises following Chapter 2. These are due on Monday. Attempt problem 14, it is part of the quiz but will be considered a bonus problem. We finished Chapter 2 and started Chapter 3 today.

Mon, Jun 16: We covered Section 3.2 completely today and introduced several examples of derivatives from various viewpoints. We started Section 3.3. For tomorrow, read Section 3.3.

Tue, Jun 17: We covered Section 3.3 today. Please check out the Test 1 Review and I discussed this in class. We had an in-class quiz today on the definition of derivative.

Wed, Jun 18: Started Section 3.4 on the product and quotient rules. We also reviewed for tomorrow's test.

Thu, Jun 19: Test 1

Mon, Jun 23: We reviewed the product and quotient rules and then covered the derivatives of basic trig functions. I also introduced the chain rule. Read up through Section 3.6.

Tue, Jun 24: Today we finished the chain rule (Section 3.6) and covered the derivatives of e^x and ln(x). Tomorrow I will start the related rates section (Section 3.7). Quiz 5 is due on Thursday of this week and covers the product and quotient rules.

Wed, Jun 25: We will be studying related rates (3.7) and implicit differentiation together in the next couple of days. Make sure you understand the use of the chain rule within these topics.

Thu, Jun 26: We continued our study of related rates and implicit differentiation.

Fri, Jun 27: After finishing a couple of examples with implicit differentiation, we reviewed derivatives of exponential and logarithmic functions. I introduced logarithmic differentiation, which is found in the book at the end of Section 4.2. The quiz that was scheduled for today will be on Monday instead and will cover through the end of Chapter 3.

Mon, Jun 30: We looked at L'Hopital's Rule more and will finish Chapter 4 tomorrow with examples of limits using indeterminate forms. The test on Thursday will cover Chapters 3 and 4. We did FCQs today. Quiz 6 is due on Wednesday.

Tue, Jul 1: We reviewed for the test. Please try to complete Test 2 Review. You should be capable of doing all but the last problem. Follow the given hint and the last problem becomes much easier.

Mon, Jun 2: Section 1.1: 3, 5, 9, 19, 27, 29, 31, 33 Solutions

Tue, Jun 3: Section 1.3: 5, 6, 9, 17, 18, 24, 41, 43, 44 Solutions

Wed, Jun 4: 5 homework problems on long division Solutions

Thu, Jun 5: Section 1.5: 7, 13, 16, 24 Section 1.6: 23, 29, 36 Solutions

Fri, Jun 6: No homework today.

Mon, Jun 9: Section 2.2: 1, 2, 4, 7, 12, 17, 26, 29, 31, 35 Solutions

Tue, Jun 10: No homework today. Instead, do the quiz. See "updates" above.

Wed, Jun 11: Section 2.3: 12, 14, 15, 26, 43 Section 2.5: 2, 3, 5, 7, 11, 15, 18, 23 Solutions

Thu, Jun 12: The homework for Section 2.6 will be posted on Friday.

Fri, Jun 13: Section 2.6: 2, 6, 10, 12, 14, 22, 32, 50, 54 Solutions

Mon, Jun 16: Section 3.1: 4, 10, 12, 14, 16, 22 Solutions Section 3.2: 2, 3, 9, 10, 12, 14, 15, 18, 22, 36, 43, 44 Solutions

Tue, Jun 17: Section 3.3: 2, 4, 6, 8, 18, 20, 26, 30, 32, 34, 36, 44, 48, 66 Solutions

Wed, Jun 18: No homework. Review for the test. New homework will be posted when we return from the weekend after the test.

Mon, Jun 23: Section 3.4: 2, 4, 8, 10, 12, 14, 16, 24, 26, 28 Solutions

Tue, Jun 24: Section 3.5: 8, 12, 18, 26, 31, 32 Solutions Section 3.6: 10, 16, 20, 30, 34, 40, 56 Solutions

Thu, Jun 26: Section 3.7: 1, 5, 6, 13, 14, 17, 20, 25, 30, 47 Solutions

Fri, Jun 27: Section 4.1: 2, 6, 10, 14, 18, 30 Section 4.2: 4, 6, 14, 22, 28 (expand the log), 32, 34

Mon, Jun 30: Section 4.3: 4, 6, 8, 10, 12, 14, 16, 22, 28, 30 Section 4.4: 6, 8, 10, 12, 16, 22, 28, 34, 39, 50

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