Practice Exams

Practice Final Exams

Course Notes

Course Reviews

Practice Final Exams

Math 1031

 

 

 

Spring 2003

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Fall 2004

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Spring 2005

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Fall 2005

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Spring 2006

Exam Answer Key Solution Set

Fall 2006

Exam Answer Key Solution Set

 

     

Math 1142

 

 

 

Spring 2003

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Fall 2004

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Spring 2005

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Fall 2005

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Spring 2006 Exam Answer Key Solution Set
Fall 2006 Exam Answer Key Solution Set

Math 1151

 

 

 

Fall 2000

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Fall 2001

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Spring 2003

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Fall 2004

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Spring 2005

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Fall 2005

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Fall 2006 Exam Answer Key Solution Set
Spring 2007 Exam Answer Key Solution Set
Spring 2008 Exam Answer Key Solution Set

Math 1155

 

 

 

Spring 2003

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Fall 2004

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Spring 2005

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Fall 2005

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Spring 2006 Exam Answer Key Solution Set
Fall 2006 Exam Answer Key Solution Set

Math 1271

 

 

 

Fall 2000

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Fall 2001

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Spring 2003

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Fall 2004

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Spring 2005

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Fall 2005

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Fall 2007 Exam Answer Key Solution Set

Math 1272

 

 

 

Fall 2001

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Solution Set

undated [2002?]

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Spring 2003

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Fall 2004

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Spring 2005

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Fall 2005

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Spring 2006 Exam Answer Key Solution Set
Fall 2006 Exam Answer Key Solution Set

Math 1281

 

 

 

Fall 2001

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Fall 2002

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Solution Set

 

     

Math 2263

 

 

 

Spring 2003

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Fall 2004

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Spring 2005

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Fall 2005

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Spring 2006 Exam Answer Key Solution Set
Fall 2006 Exam Answer Key Solution Set

Course Notes

Math 1151 / 1271 Course Notes

Trigonometric Identities - Starting from the Pythagorean Identity, these notes show how the most often useful trigonometric identities are derived.

Math 1271 Course Notes

Math 1271 Course Notes -- All Section references are to Stewart, Calculus: Early Transcendentals, 6th Edition

Functions- These are some notes that were written in the fall of 2007 on topics from Chapter 1 and early in Chapter 2.

The Elementary Functions and some of their Properties-This is a summary reference of the basic mathematical functions that were used in this course sequence.

Limits at Infinity for Rational Functions-This is an elaboration of some of the material in Section 2.6, based on an earlier handout and posting.

Derivations of Some Differentiation Rules - These notes provide some supplementary discussion of the differentiation rules presented in the first half of Chapter 3 in Stewart. The Product Rule, Quotient Rule, and Chain Rule are derived; alternative proofs of the trigonometric limits are shown, leading to the derivation of the derivatives of the sine and cosine functions; and a variant proof for the derivative for the general exponential function is shown.

Trigonometric Limits- This is a set of solutions for Problems 39-48 in Section 3.3. While we will learn a more powerful method of calculating such limits in Section 4.4, you may find the solutions worth studying for techniques of problem-solving.

Derivative Tests- This is a summary of the First and Second Derivative Tests. There is a reference table which collates the results for the derivative tests applied to a function.

Optimization Problems- Here are some additional problems worked out from Section 4.7.

November 25, 2009 Lecture- This is a set of notes for a lecture given on Thanksgiving Eve, mostly covering Section 5.2 of Stewart, on Riemann sums and the definition of definite integrals, with some worked examples.

November 26, 2008 Lecture- This is a set of notes for a lecture given on Thanksgiving Eve on the Net Change Theorem (Section 5.4 of Stewart), with a lead-in to the "substitution method" for integration (Section 5.5).

Math 1272 Course Notes

all Section references are to Stewart, Calculus: Early Transcendentals, 6th Edition

Integrals of Power of Triginometric Functions- This is a "handout" written in 2003, which he revised slightly and to which he added a summary. It covers cases beyond what is discussed in Section 7.2 of Stewart and includes many examples.

Weierstrass’ “Half-Angle” Substitution-This is an additional integration "trick" that has been taught by some instructors for this course in the past. It is not essential to the course, but it may be helpful for you to know about it.

Strategy for Integration- This is a summary of the methods of integration we have learned in Chapters 5 and 7 and the circumstances in which they might be applied.

p-test for Improper Integrals- This is another "handout" from 2003 on a useful convergence test for improper integrals, which was discussed in Section 7.8. This concept will also be of use to us in Chapter 11.

March 13, 2009 Lecture- These are the notes for the lecture given on the Friday before Spring Break, covering arc length and area for polar curves (Section 10.4), including examples and some cautions.

Lecture for 12 March 2010- There is a fair amount of overlap between the topics of this lecture and the Spring Break eve lecture from last year. Some other problems were worked out this time, so you may wish to read both sets of notes, as the 2009 lecture is referred to for additional details on certain points.

Conic Sections and Polar Coordinates - The material covered in Sections 10.5 and 10.6 of Stewart is discussed with an emphasis on deriving the equations of the curves in both rectangular and polar coordinates and demonstrating the unity underlying them.

Convergence Tests for Infinite Series- This is a summary of the tests studied in Sections 11.2 to 11.6, along with some guidance on their use.

Space Curves - The topics in Sections 13.2 and 13.3 of Stewart are discussed, along with calculations of all the properties presented there for a particular curve given in one of the problems; these notes may also be of interest to students in Math 2263.

Math 1272 Course Notes

all Section references are to Stewart, Calculus: Early Transcendentals, 6th Edition

Mixing Problems I - This is the first part of notes of the mixing problems discussed in Section 9.3 of Stewart, where the differential equation for the model is separable; the model is also dealt with early on in a first differential equations course.

Mixing Problems II - The second part of these notes investigate the mixing problems found in Section 9.5 of Stewart, where the differential equation must be solved using an "integrating factor"; this method also appears early on in a first differential equations course.


Course Reviews

Math 1031

Problems+Answer Key

Solution Set

Math 1051

Problems+Answer Key

Solution Set

Math 1151

Problems+Answer Key

Solution Set

Math 1271

Problems+Answer Key

Solution Set

Math 1272

Problems+Answer Key

Solution Set

Physics 1201

Course Review

Course Solution Set 1-9

 

 

Course Solution Set 10-17

 

 

Course Solution Set 18-24

Physics 1301

Course Review

Course Solution Set 1-9

 

 

Course Solution Set 10-18

 

 

Course Solution Set 19-24