MATH 212 Calculus I Section 03
Syllabus for Fall 2013

Mon, Tues, Thurs, & Fri, 10:00 – 10:50am
324 Gildemeister Hall

Instructor: Dr. Eric Errthum              Winona Email Username: eerrthum             Office: 124A Gildemeister Hall            Office Hours:  See homepage. Or by appointment on any day.

Prerequisite: MATH 120 (Pre-calculus) or a qualifying score on the mathematics placement exam

Text & Calculator: Calculus: Early Transcendentals, James Stewart, 7th ed.
No calculators will be allowed on any quiz or exam, but might be required for some homework problems.

Course Website:     http://course1.winona.edu/eerrthum/math212

About This Course:  This course is intended to provide the student with a clear understanding of the ideas of differential calculus. This course will concentrate on the symbolic, algebraic, functional computations, the meaning of those computations, and some of the applications of mathematics to real-life situations.

Expectations: Students who complete this course with a passing grade are expected to be able to demonstrate the following skills: (i) Mastery of prerequisite material, (ii) Compute limits, the derivative of any algebraically defined function, and basic antiderivatives (iii) Apply the correct calculus techniques in the appropriate situations, (iv) Understand the connections between visual and algebraic information and how calculus applies to each.

Grading:  ALEKS Final Assessment                                          97 points---- 10.00%
                  Homework (scaled as needed)                                  108 points---- 11.81%
                  Quizzes (12 @ 15 points each, drop lowest)            165 points---- 14.36%
                  Midterms (4 @ 100 points)                                       400 points---- 42.55%
                  Final                                                                          200 points---- 21.28%
                                                                                                    --------------

                                                                                                     970 points total

Grades:  A = 90% (873 pts), B = 80% (776 pts), C = 70% (679 pts), D = 60% (582 pts)

ALEKS:         A significant portion of your grade will depend on your mastery of prerequisite material in the form of ALEKS assessments on the ALEKS website. You should have purchased an “ALEKS Prep for Calculus (6 weeks)” access code. The course code for this course is 3JCFD-VW9UA. The first time you log in, you will be forced to take an initial assessment. NO CALCULATORS ALLOWED during ALEKS (unless it provides one for you on screen). You must complete the initial assessment by Friday, August 30th. Afterwards, ALEKS will help you review topics in which you need improvement. The Final Assessment for ALEKS (which counts for 10% of your overall grade in the course) will be on Tuesday, September 17th during regular class time and will take place on the 2nd floor of the library. Make sure to bring your laptop to class on that day. See the ALEKS handout for more information. Here is data on past ALEKS scores and subsequent course grade distributions.

Homework:    Homework will be assigned daily, even if not specifically mentioned in class (see list of problems in the schedule below). The period before a quiz, we will have a “Homework Day” on the corresponding material. During a Homework Day, students will be randomly selected to put solutions to assigned problems on the board. The grading rubric will be as follows:

·         If the student has a solution to their given problem, they get 4 points, even if what they write on the board is wrong. However, they must write a solution that can be followed without explanation, not just the answer. In essence, all the student has to do is copy down the solution they've already worked out in their homework to the board.

·         If the student doesn't have the problem given to them, they can put up any other problem from that week that hasn't already gone up on the board for 3 points.

·         If a student presents inadequate work, they get 2 points.

·         If the student is present but unprepared, they get 1 point.

·         If the student is absent, they get 0 points.

The entire homework portion of your grade is based on these sessions.

Quizzes:    We will have a short quiz almost every week (see schedule below). Each quiz will count for 15 points and the lowest quiz score will be dropped from your grade.

Exams:     There will be four in-class exams and one comprehensive final exam. Exam dates are tentative until officially announced in class. The final exam is scheduled for Wednesday, December 11th at 8AM.

Extra Credit: If one question gets passed on by 3 students in a row, a volunteer will be asked to put up the solution. This student will be awarded 5 homework points. Frequently quizzes and exams will contain bonus problems where students will have the chance to earn extra credit points. Students who find legitimate typos in the supplementary material will receive extra credit. No other extra credit will be offered.

S2I: This course has Supplemental Instruction sessions that are run by a former calculus student. These sessions meet TTh 7:00-8:30pm in GI225.

Resources:      The Mathematics Achievement Center (MAC) is located in 313 Tau Center on West Campus and offers free tutoring. More information available at: The MAC Website.

Desire2Learn:            Some course materials and approximate grades can be found on D2L. If at any point during the semester you would like to know your exact grade, please email the instructor.

Late/Missed Work:   Missed quizzes will result in a score of zero. There are no make-up quizzes. Make-up exams will be given at the discretion of the instructor. If you miss class, it is your responsibility to obtain notes and assignments from fellow students. If you have an unavoidable absence, please inform the instructor beforehand.

Academic Dishonesty:           Any type of academic dishonesty (cheating, copying, etc.) will result in failure and will be reported to school authorities. If you are having trouble with an assignment, please see the instructor first.

Note:         This syllabus is subject to change if deemed necessary by the instructor.

Tentative Schedule of Events – Math 212

(subject to change)


Week Starting

Monday

Tuesday

Thursday

Friday

8/26

Intro and ALEKs Set-Up

Chapter 1

Chapter 1, cont.

ALEKS Initial Assessment Due

2.1 & 2.2
Tangent and Velocity
Limit of a Function

 

HW (pg 86) 2.1: 4

9/2

No Class
Labor Day

2.2, cont.
2.3
Calculating Limits using Limit Laws
HW (pg 96) 2.2: 4, 6, 8, 12, 16, 18, 30, 36
HW (pg 106) 2.3: 12, 16, 20, 26, 30, 32, 38, 40, 44

Homework Day

Quiz (2.1 – 2.3)

2.4
Precise Definition of a Limit
HW (pg 116) 2.4: 2, 4, 6, 10, 12, 16, 18, 20, 22, 24, 26, 36, 41, 42

9/9

2.5
Continuity

HW (pg 127) 2.5: 6, 8, 22, 24, 36, 38, 40, 42, 46, 50, 52, 54, 69

Homework Day

Quiz (2.4 – 2.5)

 

2.6
Limits at Infinity

HW (pg 140) 2.6: 2, 4, 6, 14, 16, 18, 20, 22, 24, 30, 34, 38, 42, 44, 46, 50, 70

2.7
Derivatives and Rates of Changes

HW (pg 150) 2.7: 4ab, 8, 10, 12, 18, 20, 22, 30, 34, 36, 38, 50

9/16

2.8
The Derivative as a Function

BRING YOUR LAPTOPS!

 

ALEKS FINAL ASSESSMENT

 

2nd Floor of Library

2.8, cont.

 

HW (pg 162) 2.8: 4, 6, 8, 10, 14, 22, 24, 26, 30, 46

Homework Day

9/23

Quiz (2.6 – 2.8)


Sample Exam

EXAM I

3.1 / 3.2 / 3.4
d of Polynomials and Product Rule

 

HW: Lecture 1 homework in the Chapter 3 Supplementary Materials found in the content section of D2L.

3.1 / 3.2 / 3.4
d of Exponential Functions and Quotient Rules

 

HW: Lecture 2 homework in the Chapter 3 Supplementary Materials found in the content section of D2L.

9/30

Homework Day

Quiz

 

3.3 / 3.4 / 3.5 / 3.6
d of Log, Trig, and Inverse Trig Functions

 

HW: Lecture 3 homework in the Chapter 3 Supplementary Materials found in the content section of D2L.

3.1 / 3.2 / 3.3 / 3.4 / 3.6
Derivatives
(slopes of tangents)

 

HW: Lecture 4 homework in the Chapter 3 Supplementary Materials found in the content section of D2L.

3.10
Linear Approximations

 

HW (pg 255) 3.10: 2, 4, 12, 14, 16, 24, 28, 34a, 36, 38a, 41

10/7

Homework Day

Quiz

 

3.1 / 3.2 / 3.3 / 3.4 / 3.6
Derivatives, cont.
(concavity)

 

HW: Lecture 5 homework in the Chapter 3 Supplementary Materials found in the content section of D2L.

3.5 / 3.6
Implicit and Logarithmic Differentiation

 

HW (pg 215) 3.5: 6, 8, 10, 14, 16, 20, 22, 26, 30, 34ab, 36

HW (pg 223) 3.6: 42, 46

Homework Day

10/14

Quiz

 

Sample Exam

EXAM II

4.4
Indeterminate Forms and L’Hospital’s Rule

 

HW (pg 307) 4.4: 6, 10, 16, 20, 28, 32, 40, 42, 58

4.2
Mean Value Theorem

 

HW (pg 288) 4.2: 10, 12, 14, 18, 24

10/21

4.9
Antiderivatives

 

HW (pg 348) 4.9: 2, 4, 6, 8, 10, 14, 20, 30, 34, 40, 46, 52, 54, 62

No Class
University Improvement Day

Homework Day

 

Quiz (4.2, 4.4, 4.9)

 

4.1
Maximum and Minimum Values

 

HW (pg 280) 4.1: 8, 10, 30, 32, 36, 40, 44, 48, 50, 54, 56, 60

 

10/28

4.3
The Derivative’s Effect on the Graph
1st Derivative Test and 2nd Derivative Test

 

HW (pg 297) 4.3: 2, 6, 8, 10, 12, 16, 26, 28, 32, 46, 48

 

4.5 & 4.6 Curve Sketching

 

HW (pg 317) 4.5: 2, 6, 10, 14, 18, 22, 42, 52

Homework Day

 

Quiz (4.1, 4.3, 4.5)

 

3.9
Related Rates

 

HW (pg 248) 3.9: 4, 6, 8, 14, 20, 22, 28, 34, 35

 

11/4

4.7
Optimization Problems

 

HW (pg 331) 4.7: 2, 4, 6, 10, 14, 20, 28, 42, 44, 54, 74

Homework Day

Quiz (3.9, 4.7)


Sample Exam

EXAM III

11/11

No Class
Veteran’s Day

5.1
Areas and Distance

5.1, cont.
5.2
The Definite Integral

HW (pg 369) 5.1: 2, 14, 16
HW (pg 382) 5.2: 6, 34, 36, 40, 48, 50, 52, 60

5.3
Fundamental Theorem of Calculus

HW (pg 394) 5.3: 2, 8, 12, 14, 16, 18, 22, 24, 34, 40, 44, 46, 56, 58, 60, 62, 68

11/18

Homework Day

Quiz (5.1 - 5.3)

 

5.4
Indefinite Integrals

HW (pg 403) 5.4: 6, 10, 22, 28, 34, 44, 52, 54, 56, 58, 64, 68

5.5 Substitution

HW (pg 413) 5.5: 2, 5, 10, 18, 24, 28, 38, 46, 48, 56, 60, 68, 86

Homework Day

11/25

Quiz (5.4 - 5.5)

 

6.1
Area between Curves

 

HW (pg 427) 6.1: 1, 3, 19, 21, 25, 27, 47

7.1 Integration By Parts

 

HW (pg 468) 7.1: 5, 7, 13, 19, 21, 23, 27, 31, 37, 41

No Class
Thanksgiving Break

12/2

Homework Day

Quiz (6.1, 7.1)

 

Sample Exam

EXAM IV

Final Review

 

Final Exam

Wednesday, December 11,

8:00 – 10:00am

 

 

Welcome to college math!

 

If this is your first math class taken in college, there are some important things you need to know. College math classes are run very differently from high school math classes. On the surface it may seem they are similar as you listen to the lecture and take notes, but there are significant underlying differences. Knowing these ahead of time can help you make the most of this coming semester.

 

#1: College math classes generally stay on the schedule in the syllabus. If there is one day allotted to the topic that is probably all of the class time that will be spent on it, even if “most” of the students “don’t get it.”

 

#2: It is expected that you will read the text and do the problems in order to learn the material, even if no one checks up on you. The instructor might never collect the homework, but that doesn’t mean it doesn’t affect your grade.

 

#3: You will sometimes be responsible for material in the textbook that is not covered in class. If there is a text reading and/or homework problems covering a concept that was not discussed in class, you are still expected to learn it. If you don’t understand it, make an appointment with your instructor for help.

 

#4: Some material is covered only in class, is not in the textbook, and may not have any homework problems on it. If you miss class, you may miss content that you are responsible to know. If you have an unavoidable absence, be sure to get the notes and any announcements from a classmate.

 

#5: There will be test questions that don’t look “just like the homework.” In college, you are expected to focus on learning the concepts, not just memorizing how to do certain types of problems. These concepts can – and will – appear in very different forms on tests and quizzes.

 

#6: At times you will be expected to be able to explain why a problem is done a certain way in addition to being expected to do the problem. As you work on problems in class and on homework, don’t be satisfied with getting the correct answer; ask yourself why that method is logical, and how you could explain that logic to someone else.

 

#7: Most importantly, you are responsible for your own learning. If you attend class faithfully, get the notes and announcements if you have an unavoidable absence, read the text, do the homework and question yourself (as in #6), and still don’t understand something, it is up to you to get the extra help you need. Visit the instructor during office hours or make a special appointment to ask questions, form a study group, etc. There are many resources and people willing and happy to help, but you need to take the initiative and seek out the help you need.

 

Good luck on a happy and successful semester!

 

 

Commitment to Inclusive Excellence

WSU recognizes that our individual differences can deepen our understanding of one another and the world around us, rather than divide us. In this class, people of all ethnicities, genders and gender identities, religions, ages, sexual orientations, disabilities, socioeconomic backgrounds, regions, and nationalities are strongly encouraged to share their rich array of perspectives and experiences.  If you feel your differences may in some way isolate you from WSU’s community or if you have a need of any specific accommodations, please speak with the instructor early in the semester about your concerns and what we can do together to help you become an active and engaged member of our class and community. 

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© Eric Errthum, August 2013, all rights reserved.