MCS 118, Calculus with Pre-Calculus Review 1a
(2:30-3:20 MTuThF in OHS 317)

Syllabus: Here is the syllabus.

Office hours for the rest of the semester:

• 12:30-2:15 Thu, 12/15. These office hours are held online via Google Meets because of the weather. The meeting code is aqc-ymhm-zfu.
  
• 10:30-12 Fri, 12/16
• 11:30-12:45 Sat, 12/17

Calculus tutoring center: Calculus tutoring is provided by fellow undergraduate students in OHS 321 at 7:00-9:00 Sun-Thu nights. Tutoring runs through the last day of classes, except during college holidays.

Online resources:

• Webwork is where you do your online homework.
• I use Moodle to post your grades periodically throughout the semester
• The grade calculator allows you to input your current running total from Moodle and see what kind of score you need on the final exam for each kind of letter grade. The calculator is a Google Sheets document, so you need to be logged in to a Google account to access it. It is supposed to work with any Google account, not only your Gustavus account. Click Use Template in the upper right corner to start. You can also download an Excel version of the calculator if Google Sheets does not want to cooperate.
• Here is a list of the topics we have covered.
• Here are the notes to help you read your textbook
  • 1.1. Functions and Their Representations
  • 1.2. A Catalog of Essential Functions
  • 1.3. The Limit of a Function
  • 1.4. Calculating Limits
  • 1.5. Continuity
• Desmos is everyone's favorite graphing website.
• Here is an app for visualizing sine, cosine, and tangent on the unit circle.
• This app illustrates the connection between the unit circle and the graphs of sine and cosine.
• Here is another app for visualizing the connection between the unit circle and the graphs of trig functions, including tangent, cotangent, secant, and cosecant.
• This app shows how you can view the graphs of tangent and cotangent as ratios of sine and cosine.
• This app helps to visualize the roles that δ and ε play in the formal definition of limits.
• Wolfram MathWorld is an interactive math encyclopedia.
• Wolfram Alpha gives you access to many features of Mathematica, an extremely powerful computer algebra program, without paying $$$ and learning Mathematica syntax. It does not only do algebra.

Homework:

Assigned	Due	Read	Exercises
9/6		1.1	No exercises to turn in this week.
9/9	9/16	1.1	Webwork: HW0 (this does not count as part of your grade) Offline: Decide if f: S → T is a function. Carefully justify your answer. S = set of current Gustavus students, T = set of faculty at GAC, f(x) = x's academic advisor, S = set of people who have ever lived, T = set of people who have ever lived, f(x) = x's father, S = set of people who have ever lived, T = set of people who have ever lived, f(x) = x's youngest brother, S = set of people who have siblings, T = set of people who have ever lived, f(x) = x's oldest sibling, S = set of all triangles, T = set of all line segments, f(x) = x's longest side.
9/16	9/23	1.1 and 1.2	Webwork: HW1 Offline: 1.1.4, 18, 20, 52 Recommended but optional: 1.1.11, 15, 19, 27, 45, 49, 51, 57, 59, 61, 65
9/23	9/30	1.2	Webwork: HW2 Offline: 1.1.42, 62, 66 and 1.2.14 Recommended but optional: 1.2.1, 3, 7, 9, 11, 13, 15
9/30	10/7	1.2, 3	Webwork: HW3 Offline: 1.2.4, 6, 32, 38 Recommended but optional: 1.2.5, 19, 27, 31, 33, 35, 37, 43
10/7		1.3	Homework holiday. Review for the upcoming exam.
10/14	10/21	1.3	Webwork: HW4 Offline: 1.2.44, 61, 66 and 1.3.2 Recommended but optional: 1.2.55, 57, 63 and 1.3.1, 13, 15, 17, 19
10/21	10/28	1.3	Webwork: HW5 Offline: 1.3.20, 24 Recommended but optional: 1.3.21, 23, 25, 26, 27
10/28	11/4	1.3 Advice on writing limits	Webwork: HW6 Offline: 1.3.6, 22, 32, 40 Recommended but optional: 1.3.29, 31, 33, 35, 37, 39, 41
11/4		1.3, 4	Homework holiday. Review for the upcoming exam.
11/11	11/18	1.4	Webwork: HW7 Offline: 1.3.36, 38, 44, 46 Recommended but optional: 1.3.41-43, 1.4.1-5
11/18	11/28	1.4 and pp. A15-A19 in Appendix C	Webwork: HW8 Offline: 1.4.6, 10 Recommended but optional: 1.4.7, 11, 13, 15, 19, 21, 23, 29
11/22	12/2	1.4 and pp. A15-A19 in Appendix C	Webwork: HW9 Offline: 1.4.20, 30, 40, 44 Recommended but optional: 1.4.22, 25, 27, 37, 39, 41, 43
12/2	12/9	1.5	Webwork: HW10 Offline: 1.4.32, 60, 64 and 1.5.12 Recommended but optional: 1.4.31, 33, 49, 51, 53, 61, 63 and 1.5.11, 13
12/9	12/13	1.6	Webwork: HW11 (closes on 12/15). Offline: 1.5.22, 34 Recommended but optional: 1.5.5, 7, 15, 17, 21, 29, 33

Exam solutions:

• First midterm exam pdf
• Second midterm exam pdf
• Final exam pdf

Past exams and solutions: You can use these as practice exams as you review and prepare for current exams.

• From MCS 118 in fall 2018:
  • First midterm exam and its solutions
  • Second midterm exam and its solutions
  • Final exam and its solutions
• From MCS 118 in fall 2019:
  • First midterm exam and its solutions in Section 1
  • First midterm exam and its solutions in Section 2
  • Second midterm exam and its solutions
  • Final exam and its solutions
• From MCS 118 in fall 2020:
  • First midterm exam and its solutions
  • Second midterm exam and its solutions
  • Final exam and its solutions
• From MCS 118 in fall 2021:
  • First midterm exam and its solutions
  • Second midterm exam and its solutions
  • Final exam and its solutions

Educational links:

• A serious paper on teaching/learning at the university level by Prof. Steven Zucker

Some scholarship opportunities for prospective teachers:

• Knowles Science Teaching Foundation