MATH 101 - Calculus I (4-0-4) Section 10

I welcome my new students, here is some of my notes

Later I will post the rest of the sections and solution of majors and quizzes

Some old exam and quizzes you find them below.

Office Hours:

Solution of Q1  Q2   Q3   Q4  Q5  Q6  Q7  Q8  Q9  Q10

Syllabus

 

Week	Dates (2017)	Sec.	Topics
1	Sep. 17 - 21	2.1	The Tangent Problem (Example 1).
		2.2        The Limit of a Function.
2	Sep. 24 - 28	2.3	Calculating Limits Using the Limit Laws
		2.4  The Precise Definition of a Limit (Examples 1, 2 and 3)
3	Oct. 1 - 5	2.5	Continuity
		2.6 Limits at Infinity; Horizontal Asymptotes
4	Oct. 7 - 12 Normal Sunday Class Saturday October 7th	2.7	Derivative and Rates of Change
		2.8 The Derivative as a Function + Exercise # 56
5	Oct. 15 - 19	2.8	Continued
		3.1 Derivatives of Polynomials and Exponential Functions
Exam#1: Oct. 22nd (2.1- 2.8)
6	Oct. 22 - 26	3.2	The Product and Quotient Rules
		3.3 Derivatives of Trigonometric Functions
7	Oct. 29 – Nov. 2	3.4	The Chain Rule
		3.5 Implicit Differentiation + Exercise # 77
8	Nov. 5 - 9	3.6	Derivatives of Logarithmic Functions
		3.7 Rates of Change (Example 1)
9	Nov. 12 - 16	3.9	Related Rates
		3.10 Linear Approximations and Differentials
10	Nov. 19 - 23	3.11	Hyperbolic Function (Example1 and 2)
		4.1Maximum and Minimum Values
Exam#2: Nov. 28th (3.1- 3.9)
11	Nov. 26 - 30	4.2	The Mean Value Theorem
		4.3 How Derivatives Affect the Shape of a Graph
12	Dec. 3 - 7	4.3	Continued
		4.4 Indeterminate Forms and L’Hospital’s Rule
13	Dec. 10 - 14	4.5	Summary of Curve Sketching
		4.7 Optimization Problems
14	Dec. 17 - 21	4.7	Continued

Prerequisites

For Calculus I, the requirement should be a strong background in mathematics. This course requires that you study about ten to fifteen hours a week outside of class. Work ahead of lecture and always read the section before you go to class. Never give up, and always try your hardest.

Make sure that you're in the right class (don't get stuck in the wrong class).

Be prepared!  Calculus is a tough course and it helps to have a strong background in precalculus algebra and trigonometry.  Be sure to really know those trig functions.

In Class

During class, view the examples seriously.
 

Read the section before coming to class, it would help a lot. Ask lots of questions in class.

Go to each and every class. If you don't understand something, try reading the book. Learn how to write good notes.
 

Come to me in office hour if you could't. Do not depend on your instructor to teach you everything.

Be prepared for class:  read over the section an attempt to work a couple of problems before you go to class ... review your notes after class, and don’t put off doing homework.
 

Ask questions.  Go to recitation.
 

Time & Energy

This is a very difficult and time-consuming course. Expect a lot of time to be spend on homework assignment, and take advantage of office hours. Attend classes: every lecture helps.

Make sure that schedules permit you a sufficient amount of time every week to study and do homework. By this I mean at least 10 to 15 hours.  You must be able to commit most of your time to this class.

Homework

Get ahead in your work. By getting ahead, you will be prepared in class to ask questions about the homework or about information in general. Any concepts that aren't understood can be explained further in class: you don't want to find at 10 pm the night before the test that there's a concept that you don't understand.

Do NOT procrastinate! I would recommend doing homework early and have as much time as possible to do it.

Don’t wait until the night before it’s due to do the homework:  do it the day of the lecture or the next day, when the material is still fresh.

Be prepared to spend a lot of time on homework. Be ready to not just do the homework for a grade, but to completely understand it. The recitation  are extremely helpful, and form study groups. And don't stress out.

Calculus I is definitely a very challenging course and there are times you feel discouraged and let down ... In order to succeed in this course, practice, practice, practice.

Do as many practice problems as humanly possible. The practice problems really helpfull.
 

Draw pictures even if you don't know how the graph will look or if it is not required: it may keep you from making silly mistakes!

Be prepared to spend many hours trying to understand what in the world calculus is all about. ... luckily, it kind of comes together at the end of the semester.

Practice and working out problems is the key to passing the class.  Do all the homework to the best of your ability, read through all the chapters, and ask for all the help you can get.

Read the book!  Do all the problems in the chapter, not just the assigned ones.
 

Don’t slack off because if you get behind, it will be hard to get caught up again and you will be confused.

Keep on trying with hard problems:  the answer will come sooner or later.
 

 Do not allow yourself to become calculator-dependent during your practice.
 

Getting Help

I think it is good to find people you can trust and rely on as good friends and study partners. Being in a group makes studying easier and more fun.

Don't give up. Eventually the answers will come to you, and if not, don't be afraid to ask.  
 

 If you get confused by something, get help then: don't wait until the exam to learn what you did not understand. There is tutoring help for a reason. Do not feel stupid going to it. If you do not go there, get help from me, a fellow classmate, or a friend. DO NOT GIVE UP!

When a problem or question arises, it is always helpful to  come to me  for extra help. I am  willing to help and explains methods to obtain a better understanding. Review notes before after they are given in class. 
 

Exam
 

Relax before a exam and give it all you've got.

Start studying for the exams early. Do good on the beginning chapters: the chapters become harder and harder, so it’s best if you ace your exams in the beginning. It's not like high school: you can't just study the night before and ace the test.

Remain focused no matter what do you or what grade you get. College is tough: you may hit a few bumps on the road, but keep trucking.

Get enough sleep before the exam, and always take advantage of the full time period allotted for the exam.

Sleep well before exams, even more than eight hours if you can, and eat within three hours before the exam.
 

Start studying for exams at least three or four days before the actual exam​.  
 

Always do the review problems in the back of the sections before quizzes.  They help a lot!  So do note cards with the formulas:  they come in handy while doing homework and studying.