DLS—Synchronous Virtual Class Meetings Required: Instruction is fully online with required online meetings during the specified days and times listed.

Meeting location: online                   Meeting times: TTh 6:00 – 7:45 PM

Prerequisites: MATH 2412 with a C or better OR satisfactory score on the ACC Higher Level Mathematics Placement Test.

Required Materials 

This is a First Day™ class. The cost of required course materials, including an online version of the textbook and software access, has been added to your tuition and fees bill.     

Textbook: Calculus: Early Transcendentals, 3rd Edition by Briggs, Cochran, Gillette, & Schulz. Pearson Publishing (MyLab software) ISBN: 9780134763644

Online Component: MyLab is required for this course. Access to the software is included with the First Day version of the text.

Calculator: You must have access to technology that enables you to (1) Graph a function, (2) Find the zeroes of a function, (3) Do numerical integration. Most ACC faculty are familiar with the TI family of graphing calculators. Hence, TI calculators are highly recommended for student use. Other calculator brands can also be used. Your instructor will determine the extent of calculator use in your class section.

Other Technology: Access to a webcam and microphone are required for this course. Eligible students can check out required technology at https://www.austincc.edu/students/student-technology-services.

Grades

Tests: 60% (4 @ 15% each)

Comprehensive Final Exam: 20%

Written Assignments: 10%

Online Homework: 10%

Grading Scale

A: 90 - 100

B: 80 – 89

C: 70 – 79

D: 60 – 69

F: < 60

What will we do in this class?

Unit Tests* and Comprehensive Final Exam:

Test 1 – covers sections 2.1 – 2.6

Test 2 – covers sections 3.1 – 3.10

Test 3 – covers sections 4.1 – 4.5

Test 4 – cover sections 4.6 – 4.9, 5.1 – 5.4, and 6.1

Final Exam – covers everything on all previous tests and everything else we cover beyond that.

*Should you receive either a zero or a poor grade on one of the three tests, that grade will be replaced by the score that you earn on the final exam. Only one test score can be replaced, and your final exam score cannot be replaced.

Testing Policy: Tests will be proctored using the online videoconferencing platform Zoom. You must have access to a webcam and microphone while testing. This is explained in more detail. Access to online utilities will not be allowed while testing. You will be allowed to use a hand-held calculator. You may not use a cell phone calculator or a computer-based calculator.

Online Homework: Online homework will be done using the computer platform MyLab from Pearson. Online homework for each section that we cover will become available during the week that we start to discuss that section and will be due the following Monday at 11:59 pm.  Details about how to access MyLab will be discussed in class.

Written Assignments: Written assignments will be available on Blackboard Monday mornings, and will typically be due at 11:59 pm the Wednesday of the week after the topics have been presented in class. You will submit your Written Assignments via Blackboard.

What happens if I miss something?

Dropped Grade Policy: I will drop your lowest written assignment grade and your lowest few MyLab assignment grades before averaging the rest at the end of the semester. Test grades cannot be dropped.

Late Work Policy: No late tests will be allowed. All late assignments will receive a grade of zero.

Missed Exam Policy: Any missed tests will count as a zero, no makeups and no exceptions. Recall, as explained above, that one test score can be replaced by the score on the Final Exam.

Attendance/Class Participation Expectations and Policy: Regular attendance is an absolute must for this course. I am counting on each of you to contribute to our learning community and the efforts of your classmates, as well as to take an active role in your own learning. This is not possible if you are not in class. You are responsible for any information that is discussed in class, even if you are absent. If, at any time in the semester, you decide that you no longer want to attend class, you should withdraw. If attendance or compliance with other course policies is unsatisfactory, the instructor may withdraw students from the class.

In the event the college or campus closes due to unforeseen circumstances (for example, severe weather or other emergency), the student is responsible for communicating with their professor during the closure and completing any assignments or other activities designated by their professor as a result of class sessions being missed.

Technology Issues are Inevitable: Online class delivery has its limitations. There may be times when technology does not work as it should. At such times, we need to be patient and resilient.

ACC has set up a Student Technology Services webpage to help you with any technology issues you may have. The link to that service (also listed on Blackboard) is https://www.austincc.edu/students/student-technololgy-services; once at that page, scroll down to the item entitled Help and Support.

Read the Text: Our online discussions will not cover everything in the text, so I expect you to read the section(s) that we cover in each class before attempting the homework.

MATH 2413 – Calculus I (4-4-0). A standard first course in calculus. Topics include inequalities; functions; limits; continuity; the derivative; differentiation of elementary functions; applications of the derivative; the integral; integration of algebraic functions and the sine and cosine functions; numerical integration; and basic applications of the integral.

Course Rationale

This course is the first course in the traditional calculus sequence for mathematics, science and engineering students. It is part of what could be a three-semester sequence in calculus courses. The approach allows the use of technology and the rule of four (topics are presented geometrically, numerically, algebraically, and verbally) to focus on conceptual understanding. At the same time, it retains the strength of the traditional calculus by exposing the students to the rigor of proofs and the full variety of traditional topics: limits, continuity, derivative, applications of the derivative, and an introduction to the definite integral.

Course Objectives

1. Find limits of functions (graphically, numerically and algebraically)
2. Analyze and apply the notions of continuity and differentiability to algebraic and transcendental functions.
3. Determine derivatives by a variety of techniques including explicit differentiation, implicit differentiation, and logarithmic differentiation. Use these derivatives to study the characteristics of curves. Determine derivatives using implicit differentiation and use to study characteristics of a curve.
4. Construct detailed graphs of nontrivial functions using derivatives and limits.
5. Use basic techniques of integration to find particular or general antiderivatives.
6. Demonstrate the connection between area and the definite integral.
7. Apply the Fundamental theorem of calculus to evaluate definite integrals.
8. Use differentiation and integration to solve real world problems such as rate of change, optimization, and area problems.

Upon successful completion of the course, a student should be able to:

1. Solve tangent and area problems using the concepts of limits, derivatives, and integrals.
2. Draw graphs of algebraic and transcendental functions considering limits, continuity, and differentiability at a point.
3. Determine whether a function is continuous and/or differentiable at a point using limits.
4. Use differentiation rules to differentiate algebraic and transcendental functions.
5. Identify appropriate calculus concepts and techniques to provide mathematical models of real-world situations and determine solutions to applied problems.
6. Evaluate definite integrals using the Fundamental Theorem of Calculus.
7. Demonstrate an understanding of the relationship between derivatives and integrals using the Fundamental Theorem of Calculus.