General Information

Instructor: Bjoern Muetzel
E-Mail: bjorn.mutzel@dartmouth.edu
Office: 317 Kemeny Hall
Lectures: MWF 1:45–2:50 pm
Room: 007 Kemeny Hall
x-hours: Th 1:00–1:50 pm
Office hours: M 4–5 pm and Tu,Th 3-4 pm or by appointment.

During the x-hours I will be available in my office, but x-hours will be occasionally used for class work.

In order for me to respond your emails promptly, please write me from your Dartmouth email address and enter "Math3 + topic" in the subject.

Khan Academy

Khan Academy - create your own account making sure to enter in the field "First name" your Dartmouth ID + your first name, this way we can give you credit for the work you do! If you already have a Khan Academy account, please change your first name to your Dartmouth ID for the duration of this course.

Use the code YPMP88 to add me as a coach, this can be done by clicking the Coaches link when viewing your homepage, or at this link once you've created your account.

You should also add the Master course code PYP4UV.

Khan Academy Assignment Outline - this is a list of all Khan Academy assignments as well as videos, along with the date they were assigned.

Book

James Stewart: Calculus , 7th edition

We will cover different sections of chapter 1 to 4 from this book. For further information on the syllabus, see this page. Please make sure that you have the right edition, otherwise the numbering of the chapters and exercises does not match.

Grades and Exams

	Percentage
Class Preparation	5%
Mastery in Problem Sets	10%
Class Participation	5%
Midterm Exams	25% each
Final Exam	30%
Total	100%

Exam Schedule: Midterm I: January 28, 6 to 8 pm, Midterm II: February 25, 6 to 8 pm, Final: March 11, 3-6 pm

Final exam - Information

The exam will be March 11 from 3 to 6 pm in MOORE HALL, FILENE AUDITORIUM.
You can find the topics covered in the exam on the Khan Academy Progress Chart.
The content will be roughly: 50% Integration, 25% content of Midterm II, 25% of Midterm I.
You should practice for the exam with the practice exams on the main page of the course and the exercises from class.
Take a close look at how the solutions are written in these exams and at the solutions for the exercises during class below. This is the way you should present your results. In any case it is always better to write more than less.
Calculators and sheets with formulas will not be allowed during the exam.
A few useful tips from the Academic Skills Center can be found here.

Useful links

Review sheets on algebra and trigonometry (from Paul Dawkins's site)

For graphing and visualization students are encouraged to use tools such as Desmos Graphing Calculator or GeoGebra

Schedule

Date	Topic	Book chapter	Material from class	Suggested problems (not mandatory)
Mon 1/4/16	Introduction, discussion of syllabus	Introduction	lecture01_math3_wi16.pdf
Wed 1/6/16	Manipulating functions	Ch. 1.1-1.3	lecture02_math3_wi16.pdf math3_exercise1_w16.pdf math3_solution1_w16.pdf	Ch. 1.3 #2, 6, 33, 35
Fr 1/8/16	Introduction to limits	Ch. 1.4-1.5	lecture03_math3_wi16.pdf math3_exercise2_w16.pdf math3_solution2_w16.pdf	Ch. 1.5 #4, 11, 15, 32
Mon 1/11/16	Solving limits using algebra	Ch. 1.6	lecture04_math3_wi16.pdf math3_exercise3_w16.pdf math3_solution3_w16.pdf	Ch. 1.6 #17, 25, 39, 44, 58
Wed 1/13/16	Epsilon-delta definition of limits	Ch. 1.7	lecture05_math3_wi16.pdf math3_exercise4_w16.pdf math3_solution4_w16.pdf	Ch. 1.7 #3, 8, 28, 39
Fr 1/15/16	Continuity, intermediate value theorem	Ch. 1.8	lecture06_math3_wi16.pdf math3_exercise5_w16.pdf math3_solution5_w16.pdf	Ch. 1.8 #21, 32,42,46
We 1/20/16	Secant and tangent lines	Ch. 2.1-2.2	lecture07_math3_wi16.pdf math3_exercise6_w16.pdf math3_solution6_w16.pdf	Ch. 2.1 #3,12,30,46
Th 1/21/16	Derivative as a function	Ch. 2.2-2.3	lecture08_math3_wi16.pdf math3_exercise7_w16.pdf math3_solution7_w16.pdf	Ch. 2.2 #3, 9, 21, 24
Fr 1/22/16	Derivative rules	Ch. 2.3-2.4	lecture09_math3_wi16.pdf math3_exercise8_w16.pdf math3_solution8_w16.pdf	Ch. 2.3 #13,24,33, 51
Mo 1/25/16	Special derivatives, chain rule	Ch. 2.4-2.5	lecture10_math3_wi16.pdf math3_exercise9_w16.pdf math3_solution9_w16.pdf	Ch. 2.4 #9,19,39,51
We 1/27/16	Implicit differentiation	Ch. 2.6	lecture11math3_wi16.pdf math3_exercise10_w16.pdf math3_solution10_w16.pdf	Ch. 2.6 #3,22,29,59
Fr 1/29/16	Related rates	Ch. 2.7	lecture12_math3_wi16.pdf math3_exercise11_w16.pdf math3_solution11_w16.pdf	Ch. 2.7 #5,10,13,25,33
Mo 2/1/16	Related rates II	Ch. 2.8	lecture13_math3_wi16.pdf math3_exercise12_w16.pdf math3_solution12_w16.pdf	Ch. 2.8 #5,11,17,41
We 2/3/16	Extrema, Mean Value Theorem	Ch. 3.1-3.2	lecture14_math3_wi16.pdf math3_exercise13_w16.pdf math3_solution13_w16.pdf	Ch. 3.1 #2,15,35, Ch.3.2 #14,17,19
Fr 2/5/16	Concavity	Ch. 3.3	lecture15_math3_wi16.pdf math3_exercise14_w16.pdf math3_solution14_w16.pdf	Ch. 3.3 #3,12,15,21
Mo 2/8/16	Derivative of the inverse function, Limits at infinity	Ch. 3.4, Ch. 6.6 up to page 457	lecture16_math3_wi16.pdf math3_exercise15_w16.pdf math3_solution15_w16.pdf	Ch. 3.4 #4,8,27,29,57
We 2/10/16	Curve sketching	Ch. 3.5-3.6	lecture17_math3_wi16.pdf math3_exercise16_w16.pdf math3_solution16_w16.pdf	Ch. 3.5 #5,15,33,55
Fr 2/12/16	Absolute maxima and minima, optimization	Ch. 3.7	lecture18_math3_wi16.pdf math3_exercise17_w16.pdf math3_solution17_w16.pdf	Ch. 3.7 #3,11,20,23
Mo 2/15/16	Absolute maxima and minima, optimization	Ch. 3.7	lecture19_math3_wi16.pdf math3_exercise18_w16.pdf math3_solution18_w16.pdf	Ch. 3.7 #35,38,46,54
We 2/17/16	Optimization, application to economics	Ch. 2.7,Ch. 3.7	lecture20_math3_wi16.pdf math3_exercise19_w16.pdf math3_solution19_w16.pdf	Ch. 2.7 #29, go through all examples from Ch. 3.7
Fr 2/19/16	Antiderivative	Ch. 3.9	lecture21_math3_wi16.pdf math3_exercise20_w16.pdf math3_solution20_w16.pdf	Ch. 3.9 #13,23
Mo 2/22/16	Area under a curve, Riemann sum	Ch. 4.1	lecture22_math3_wi16.pdf math3_exercise21_w16.pdf math3_solution21_w16.pdf	Ch. 4.1 #13,19,33,41
Fr 2/26/16	Fundamental theorem of calculus	Ch. 4.3	lecture23_math3_wi16.pdf math3_exercise22_w16.pdf math3_solution22_w16.pdf	Ch. 4.3 #5,7,19,29,49
Mo 2/29/16	Definite integral rules	Ch. 4.2-4.3	lecture24_math3_wi16.pdf math3_exercise23_w16.pdf math3_solution23_w16.pdf	Ch. 4.2 #3,17,33,57
We 3/2/16	Indefinite integral	Ch. 4.4	lecture25_math3_wi16.pdf math3_exercise24_w16.pdf math3_solution24_w16.pdf	Ch. 4.4 #5,11,33,45
Fr 3/4/16	Net change theorem, substitution rule	Ch. 4.4-4.5	lecture26_math3_wi16.pdf math3_exercise25_w16.pdf math3_solution25_w16.pdf	Ch. 4.4 #49,55,60, Ch. 4.5 #5,11,45,85