Professor Auth's Math 20100 Page

Schedule

201 Topics, Suggested Schedule

Book: Calculus Volume 1 by Herman, Strang, et al, ISBN-13: 978-1-938168-02-4, Openstax

Class	Topics	Section
1	Functions and Graphs	1.1--1.5
2	Preview, The Limit of a Function	2.1, 2.2
3	The Limit Laws	2.3
4	Continuity	2.4
5	The Precise Definition of a Limit	2.5
6	Definition of Derivative, Derivative as a Function	3.1, 3.2
7	Differentiation Rules	3.3
8	Exam 1
9	Derivatives as Rates of Change, Derivatives of Trig Functions	3.4, 3.5
10	The Chain Rule	3.6
11	Derivatives of Inverse Functions	3.7
12	Implicit Differentiation	3.8
13	Derivatives of Exponential and Log Functions	3.9
14	Related Rates	4.1
15	Linear Approximation and Differentials	4.2
16	Exam 2
17	Maxima and Minima, The Mean Value Theorem	4.3, 4.4
18	Derivatives and the Shape of a Graph, Limits at Infinity Asymptotes	4.5, 4.6
19	Limits at Infinity and Asymptotes, Optimization	4.6, 4.7
20	L'Hospital's Rule	4.8
21	Antiderivatives	4.10
22	Approximate Areas	5.1
23	Exam 3
24	The Definite Integral	5.2
25	The Fundamental Theorem of Calculus, Formulas and Net Change	5.3, 5.4
26	Substitution	5.5
27	Integrals Involving Exp, Log, Inverse Trig	5.6, 5.7
28	Integrals Exp, Log (openstax Calc Volume 2)	2.7 (Volume 2)

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Midterm Exam Schedule

Midterm 1: Monday 5 October (in class)

Midterm 2: Monday 2 November (in class)

Midterm 3: Monday 30 November (in class)

Final Exam: Monday 21 December 1-3:15pm (room TBD)

Grading Factors

Quiz Average: 15% of course grade.

Midterm Exam 1: 15% of course grade.

Midterm Exam 2: 15% of course grade.

Final exam 40% of course grade

Homework

It is part of the homework to read the textbook, or some other appropriate calculus book that covers the material. Note that answers to all odd numbered problems are at the end of almost every calculus text.

The course will use the free WeBWorK online homework system. You can find the site for your class by looking for 26 Fa201 CD

Your login is your CCNY domain name typed in LOWERCASE (this is crucial, any other way of entering it will NOT be recognized), and your password is the one that goes with it. These are usually the same as your old email userid (without the @...) and the associated password. Despite appearances to the contrary, you cannot change your userid or password on the WeBWorK system.

For continuing students and staff, login will remain unchanged despite the recent migration to the new student and staff email systems. For new people, you will have to set up a CCNY account (which is also needed for such things as logging into CCNY WiFi) by going to the same reset link given below.

Since passwords must be reset every 180 days, sudden inability to login to WeBWorK is often linked to that issue. Changing the phone used for email MFA can also adversely affect your ability to login until you register the new device. As a first resort to remedy a login difficulty, try changing your password using CCNY's reset site and it will immediately automatically change on WeBWorK as well.

Tutoring and other resources

Exam questions will be similar to the assigned webwork homework questions, exact replicas sometimes. You should attempt all the assigned homework problems to learn the material and prepare for quizzes and exams. If you have done all assigned hw problems, there should be no surprises on quizzes and exams.

Textbook Exercises vs. Textbook Examples and Checkpoints

After you have attempted the assigned weekly webwork hw set, the best way to learn the material is to consistently do many suggested textbook exercises. It is better to spend a couple hours every day doing textbook exercises rather than spending the weekend before the exam cramming for eight hours a day. Consider the final exam like running a marathon and the problems as your training sessions. If you consistently do problems (train) then you will be well-prepared for the final exam. However if you have long gaps between working on problems you will always have difficulty getting back into the math mindset necessary to complete the problems. The first day of training is always the most painful. When I studied math in college I learned most by attempting to work out many of the odd numbered exercises in my textbooks and then checking my answers.

Textbook exercises are located at the end of each section in our book. Answers to the odd numbered exercises in the back of the book. Textbook examples are mixed into the section. Textbook examples always have a full written solution immediately underneath. These solutions are well-written and are one of the strengths of our textbook. Please cover up the solution and try to work it out yourself before reading the solution.

Flipped Classroom and Reading the Textbook

The best way to learn the material is to consistently read the textbook and do the checkpoint problems in each section. After completing reading the section, do many suggested textbook exercises. It is better to spend a couple hours every day doing textbook exercises rather than spending the weekend before the exam cramming for eight hours a day. Consider the final exam like running a marathon and the problems as your training sessions. If you consistently do problems (train) then you will be well-prepared for the final exam. However if you have long gaps between working on problems you will always have difficulty getting back into the math mindset necessary to complete the problems. The first day of training is always the most painful. When I studied math in college I learned most by attempting to work out many of the odd numbered exercises in my textbooks and then checking my answers.

We will be practicing flipped classroom this semester. You will be reading (and watching videos) about the course topics before studying them in class with me. Having a rough idea of a course topic before learning studying it in class will give us more time to spend solving problems in class. Solving problems is the most important part of the course.

Learning to read a textbook is a crucial skill to master. Carefully reading a math textbook will help you in all of your future math courses at CCNY. Reading a math textbook is unlike reading the newspaper or a novel. You cannot just read the assigned pages in a math book and be done. It doesn't work like that. You must read a math book slowly, with diligence---and you must have a pencil and scrap paper by your side to work our the examples. It is best to cover up the solution to an example and attempt to work it out yourself before moving forward. It is usually impossible to work out a solution perfectly on first reading but it is important to try. Attempting a problem, or just trying to figure out what is being asked, is a great way to learn math.

There are some video links inside the reading. These can be helpful to ponder the topic from a different viewpoint.