1. Course Information:
   1. Course Description
   2. Prerequisite
   3. Coverage
   4. Outcomes
2. Course Materials:
   1. WebAssign Platform and e-Textbook

Course Description:

Course name Calculus I, Course number MATH& 151, 5 credits
Class "151A": section D01D, item #4033
Class "151B": section D02D item #4034

Course name Calculus II, Course number MATH& 152, 5 credits
Class "152": section D01D, item #4037

Dates: 1/3/2023 – 3/14/2023 including the final examination.

Format: These are fully online courses conducted asynchronously in Canvas and WebAssign. This is NOT a "remote learning" format, thus has no real-time class meetings (i.e. NO Zoom). FAQ - What's the difference between online and remote class? What does "asynchronous" mean?

Prerequisite:

To qualify for Calculus I you must have met BOTH of the following prerequisites: (1) College Algebra (Clark's Math 110 or 111) passed with a grade of at least "C" or qualifying score on the placement test, AND (2) College Trigonometry (Clark's Math 103) passed with a grade of at least "C" or qualifying score on the placement test.

To qualify for Calculus II and beyond you must have passed the previous calculus course with a grade of at least "C" or qualifying score on the placement test.

Coverage:

Calculus I-II-III-IV is the four-term sequence of Calculus for Engineering and the Sciences. The goal of these courses is not only to learn calculus but also to improve your critical thinking and problem solving abilities. These are challenging technical courses intended for those in STEM (science, technology, engineering, mathematics) majors. The quantitative skills requirement [Q] of the general education distribution is met by any one of these courses.

• Calculus I covers the foundations of calculus of a single variable. Topics include limits, continuity, differentiation, applications of differentiation to properties of functions and their graphs, solving real-world problems, anti-differentiation, and introduces integration.
• Calculus II covers indeterminate forms, hyperbolic functions, techniques of integration, applications of the integral to geometry and physics, and the calculus of parametric and polar equations.
• Calculus III covers sequences and series, power series, three-dimensional vectors and lines, planes, cylindrical and spherical coordinates; and vector-valued functions and their derivatives, integrals, and applications.
• Calculus IV covers the calculus of functions of several variables. Topics include limits, partial derivatives, iterated integrals and their applications, vector fields, gradient, divergence and curl, line and surface integrals, and classic vector calculus theorems.

Outcomes:

The Mathematics Department has identified the following Course Level Outcomes for which you should be proficient upon successful completion of the course.

Calculus I Outcomes

1. Determine if a limit exists using appropriate techniques, and evaluate it if it does exist.
2. Demonstrate understanding of the relationship between a function and its derivatives.
3. Find a derivative by hand using basic differentiation rules.
4. Solve an applied rate of change problem.
5. Evaluate a basic integral, and interpret its meaning in context.

Calculus II Outcomes

1. Select and use an appropriate technique to evaluate an integral.
2. Construct an integral to model an applied problem.
3. Connect an integral with its geometric interpretation (such as its application to volumes.)
4. Demonstrate calculus techniques in the context of parametric and/or polar equations.

How will you be assessed on these outcomes? See Mathematics Online Syllabus: Outcomes Assessment.

WebAssign Software and e-Textbook:

WebAssign access with included e-textbook is REQUIRED. Physical textbook is OPTIONAL.

What is WebAssign (WA): WebAssign access is required to access the assignments and tests. WA is a digital learning platform provided by the textbook publisher, Cengage. In WA you can read the e-textbook, watch video tutorials, work interactive practice problems, complete assignments, and take tests. The complete textbook is included as an online e-textbook inside WA and also available through Cengage's MindTap app.

e-Textbook that is included inside WebAssign: Calculus Early Transcendentals (9th edition) by Stewart/Clegg/Watson ISBN 9781337613927

If you already have an active Cengage "Unlimited" subscription, then there is nothing to buy. Simply click on a link to a WA assignment in our Canvas class to link your Cengage account with the Stewart e-textbook and WA materials.

Free Temporary Access to WA: Cengage provides full free "temporary access" to the WA materials and e-textbook for two weeks. Registration directions are provided in class. Ultimately you will need to purchase access, but it is wise to take advantage of the free access first.

Purchasing WA Access:  Cengage Unlimited subscription comes in 4-month (ISBN 9780357700006) or 12-month (ISBN 9780357700013) terms. If you need to purchase a subscription and plan to take another Calculus course at Clark next term, you will save money by getting the 12-month version. Both are available for purchase at the Clark College bookstore (4-month $156, 12-month $200). Or you can purchase online directly through Cengage which offers 4, 12, and 24-month subscriptions. If you do purchase directly from Cengage, be sure to buy access to the "e-textbooks and Online Learning Platforms" not just the e-textbook (i.e. you need access to WebAssign). Cengage lists subscriptions: 4-month $125, 12-month $190, 24-month $250 (prices as of 12/24/2022).

Registering in WebAssign: You *must* register for WA by clicking on a link to a WA "assignment" in our Canvas classroom. You do not need a "class key", in fact one won't work because WA is synced with Canvas.

Using a different textbook or older edition for study: All standard “early transcendental” Calculus-for-STEM textbooks cover about the same material. So if you have a textbook that you connect well with, certainly use it to study from. Of course, you are still required to have WA access since the assignments and tests are conducted there.