Class Notes and Handouts
Below you will find notes and handouts that we have used in class.
- Trig Unit Circle (PDF)
- Are You Ready for Calculus? Questions (PDF)
- Are You Ready for Calculus? Answers (PDF)
- Notes for Section 2.1: Average rates of change (PDF)
- Notes for Section 2.2: Rate of change (PDF)
- Notes for Section 2.3: Intuitive derivative (PDF)
- Notes for Section 2.4: Limits (Part 1) (PDF)
- Notes for Section 2.6: Limit rules (PDF)
- Notes for Section 2.7: Some basic derivatives (PDF)
- Notes for Section 3.1: Power Rule and Section 3.2: Derivatives of linear combinations (PDF)
- Notes for Section 4.2: Function analysis (PDF)
- Notes for Section 4.4: Optimization (part 2) (PDF)
- Notes for Section 4.7: Related Rates (PDF)
- Notes for Section 4.3: Hyperbolic functions (PDF)
- Notes for Section 5.5: Indefinite integrals (PDF)
- Notes for Section 5.3: The fundamental theorem (PDF)
- Completed notes for Section 5.3: The fundamental theorem (PDF)
- Notes for Section 5.4: Another fundamental theorem (PDF)
- Completed notes for Section 5.4: Another fundamental theorem (PDF)
- Notes for Section 5.6: Substitution (PDF)
- Notes for Section 5.7: Integration by parts (PDF)
- Notes for Section 6.1: Falling objects (PDF)
Reviews for Exams
To study for your exams, I recommend looking over and redoing as many homework problems as possible. This includes Daily and Weekly Homework. The correct answers for WeBWorK problems are always made available after an assignment’s due date. In addition, you should read over examples done in class and make sure you understand them. The review sheets posted below provide additional information about what sections and what topics you should be familiar with prior to each exam.
- Review for Exam 1 (PDF)
- Review for Exam 2 (PDF)
- Review for Exam 3 (PDF)
- Additional Problems Relevant to Exam 3 (PDF)
- Review for Exam 4 (PDF). Note: This review includes lots of additional practice problems.
Exams & Quizzes
Below you can find copies of this semester’s exams and quizzes.
- Exam 1 (PDF)
- Solutions to Exam 1 (YouTube)
- Gateway Quiz 1 (PDF)
- Solutions to Gateway Quiz 1 (PDF)
- Gateway Quiz 2 (PDF)
- Solutions to Gateway Quiz 2 (PDF)
- Exam 2 (PDF)
- Solutions to Exam 2 (PDF)
- Exam 3 (PDF)
- Solutions to Exam 3 (PDF)
- Exam 4 (PDF)
- Solutions to Exam 4 (PDF)
Here are some screencasts related to our course content.
- Introduction to WeBWorK (YouTube)
- Short video discussing Problem 1 on WeBWorK for Daily Homework 4 (YouTube)
Below you will find a few applets that are useful for visualizing calculus concepts.
- Secant line of a graph (GeoGebra)
- Relationship between a graph and its derivative (GeoGebra)
- Definition of the derivative as the limit of the slopes of secant lines (GeoGebra)
Free Calculus Texts
Here is a list of free calculus texts that you may use as an additional resource. If you find one of these more helpful than another, please let me know. Also, if you know of other resources, please let me know.
- Active Calculus (PDF) by Matt Boelkins (Grand Valley State College). This is one of the newer additions to the list of free calculus texts and probably my favorite.
- Calculus by Gilbert Strang (MIT). This book is available as a free PDF from the MIT Open Courseware Project. There are also some corresponding videos, which can be found here.
- Whitman Calculus by David Guichard (Whitman College). This one is also available as a free PDF. You can also purchase a very inexpensive hardcopy from Lulu.
- Calculus Refresher by Paul Garrett (University of Minnesota). Another free PDF. This short book seems designed for students who have had some experience with calculus and need some review.
- Funny Little Calculus Text by Robert Ghrist of the University of Pennsylvania. Currently only first semester calculus, very short, and no exercises, but a free PDF.
- Paul’s Online Math Notes by Paul Dawkins of Lamar University. Paul’s notes cover Calculus 1-3, Linear Algebra, and more. The notes are available as free HTML-based material. These notes seem to be popular with students.
- Differential Calculus with Sage by David Joyner of the United States Naval Academy and Granville. This free book is available as either a PDF or in HTML form. The book covers first semester calculus and incorporates Sage, which is an open-source mathematics software package.
- Integral Calculus with Sage by Dale Hoffman (Bellevue Community College), William Stein (University of Washington), and David Joyner (United States Naval Academy). The book picks up where the previous book left off.
Here is some information on where to get free tutoring and math help on campus. You can find a map showing the location of these services here.
- Individual tutoring is available at both North and South Student Learning Centers (NSCL & SSLC):
- One-on-one appointments are available weekdays (Mon-Fri)
- Appointments are for 45 minutes each, call 928-523-5524.
- Students are allowed two appointments per week per class
- Courses we tutor are listed on the SLC: [website www.nau.edu/slc](website www.nau.edu/slc)
- Walk-in Math Lab at the NSLC only
- No appointment necessary
- Open from 10am-8pm, Monday-Thursday and 10-2 on Friday
- MAT 125, 136 & 137
- Math Achievement Program
- Located in Adel Mathematics Building, room 137
- Drop-in tutoring M-Th 10-6pm, Friday 10-3pm
- MAT 119, 125, 136, 137 & STA 270
- Peer Math Assistants attend class and staff drop-in math tables
- No appointment necessary
- In-Hall Tutoring
- Located in Freshman residence halls (Sechrist, Reilly, McConnell, Allen, Wilson, Cowden, Mt. View)
- Tutor is available Sun-Wed evenings from 7pm-10pm
- No appointment necessary
- Online Tutoring
- Link is available at www.nau.edu/slc
- Tutor is available evenings, weekdays, and weekends.
- MAT 125-239
- Here is when the different services begin:
- NSLC Math Lab opens on Wednesday, August 29th,
- 1:1 tutoring, in-hall, online, and MAP (MAT 119, 125, 136, 137, STA270) begin on Tuesday, September 4th
- For further information regarding the above services please feel free to contact:
If you try out a few of the services above, I would love to be kept in the loop as to which ones are more useful than others.