MATH-2413 Calculus I
C. Johnson
Credit Fall 2023
Section(s)
MATH-2413-003 (69422)
LEC MW 9:00am - 10:45am RRC RRC8 8305.00
Course Requirements
About Your Course
Classroom Section: This course is taught in the classroom primarily as a lecture/discussion course.
Synonym: 69422 Section: 003
Meeting location: RRC8 8305.00 Meeting times: MW: 9:00am – 10:45am
Prerequisites: MATH 2412 with minimum grade C. OR satisfactory score on the ACC Higher Level Mathematics Placement Test.
Required Materials
Online Component: MyLab may be required for one or all of the Calculus courses. 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. 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. Graphing calculator use will NOT be allowed on any exams. However, (non-graphing) calculator use will be permitted on exams, but some exam questions will not permit calculator use.
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.
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Important Dates
Last day for 70% refund: September 11 (Monday)
Last day to withdraw: November 16 (Thursday)
Holidays: Labor Day, Monday, September 4, 2023
(Please note these are the ONLY holidays this semester.)
Making Time to Learn
We learn math by thinking about and working on mathematical problems, which takes time. Practice is crucial in a math course. To ensure that you have adequate time, set aside 8-12 hours per week outside of class time to practice and study for this course. Ask for help immediately when something isn’t clear.
Getting Help
ACC provides several free resources for students who need help; descriptions and links are below:
Office hours: Another name for office hours is “student hours.” This is the time your instructor has set aside to answer student questions, so feel free to drop by if you have questions. Office hours may be virtual or on campus; see information above.
Instructional Associates: Instructional Associates specific to the course you are taking are available for tutoring. To make an appointment, go to https://sites.google.com/a/austincc.edu/math-students/meet/list and then click on your course.
Learning Labs: The ACC Learning Labs provide tutoring in math and other subjects. To schedule an appointment, go to https://www.austincc.edu/students/learning-lab. This site includes information about in person and virtual tutoring options.
Academic Coaching: Academic coaches offer extra support to students with study strategies; they want to help you learn to be an active participant in your own learning process. For more information or to make an appointment with an academic coach, go to https://www.austincc.edu/students/academic-coaching.
ACC Student Services: Services are offered in many areas, including Academic, Financial, Personal, and Technology Support. For more information, go to https://www.austincc.edu/student-support.
Grades
Grade Components
Test 4 (Final): 25%
MyLab Homework: 10%
Handwritten Homework: 5%
Grading Scale
A: 90 - 100
B: 80 – 89
C: 70 – 79
D: 60 – 69
F: < 60
Where can I find my grades?
Grades will be posted in Blackboard.
What will we do in this class?
Tests:
There will be 3 exams, each of which will count 20% of your overall course grade, and a fourth exam which is a cumulative final and is worth 25% of your overall course grade. The dates of the exams are noted on the schedule, always on the Wednesday of the exam week. All tests will be administered in class. Partial credit is given on exams when the answer is wrong, but the methods used are partially correct. However, the amount of partial credit given on exams is at the discretion of the instructor.
Homework:
MyLab Homework and Written Homework will be assigned every week (on Wednesday in Blackboard in the Homework Box) and is due before class the next Wednesday. Instructions on how to access MyLab and the Blackboard Homework Box will be discussed on the first day of class. Both MyLab and Written Homework are required.
It is vital that students NOT get behind on homework. Make use of tutoring resources and office hours if you have questions about the homework. You may work in groups on homework, but the homework you submit must represent your own work. Get help when you need it, but don’t abuse tutors, professors, or others. You need to learn how to set up and solve the problems yourself. If you don’t, then you will not do well on the tests.
What happens if I miss something?
Dropped Grade Policy: The lowest three Written Homework section grades will be dropped for computing the final grade. No test grades will be dropped or replaced.
Late Homework Policy: Late homework assignments will rarely be accepted under any circumstances.
Missed Exam Policy: Missing an exam is very serious and should be avoided if possible. A makeup exam will only be given in the case of a genuine emergency or extreme illness (with appropriate documentation), and at the discretion of the instructor. Makeup exams are disruptive and inconvenient to both the student and the instructor. If you know that you must miss an exam, contact the instructor well in advance of the exam date to determine the best course of action.
Attendance/Class Participation: Daily attendance is mandatory. Any student who has five or more absences may be withdrawn by the instructors, but we make no promise to do so.
Any absences will be recorded in the Blackboard gradebook under “Absence Count”. The Absence Count is not used in any way to compute the final grade. Note: if the Absence Count is zero, it means that you have zero absences.
There is no such thing as an “excused absence”. The result of missing a class is the same regardless of the reason. You miss instruction. You miss an opportunity to ask questions. The goal is to minimize these disruptions, and to take personal responsibility to make up for any missed class on your own time.
Regular and punctual class and laboratory attendance is expected of all students. 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.
Course Content
Course Description
Credit Hours: 4, Contact Hours:4
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; Newton's method; 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.
The Details
First Day Access: To enhance your learning experience and provide affordable access to the right course material, this course is part of an inclusive access model called First Day™. You can easily access the required materials for this course through Blackboard, at a discounted price, and benefit from single sign-on access. Austin Community College includes the discounted price as a course fee in your registration fees for this course.
It is NOT recommended that you Opt Out, as these materials are required to complete the course. You can choose to Opt Out on the first day of class, but you will be responsible for purchasing your course materials at the full retail price and access to your materials may be suspended. See your course in Blackboard for details.
Withdrawal Policy: It is the responsibility of each student to ensure that his or her name is removed from the roll should he or she decide to withdraw from the class. The instructor does, however, reserve the right to drop a student should he or she feel it is necessary. If a student decides to withdraw, he or she should also verify that the withdrawal is submitted before the Final Withdrawal Date. The student is also strongly encouraged to retain their copy of the withdrawal form for their records.
Students who enroll for the third or subsequent time in a course taken since Fall 2002 may be charged a higher tuition rate for that course. State law permits students to withdraw from no more than six courses during their entire undergraduate career at Texas public colleges or universities. With certain exceptions, all course withdrawals automatically count towards this limit. Details regarding this policy can be found in the ACC college catalog.
Reinstatement Policy: Students who withdrew or were withdrawn will not be reinstated unless they have completed all coursework, projects, and exams necessary to place them at the same level of course completion as the rest of the class. Reinstatement is up to the instructor’s approval.
Incomplete Grade Policy: Incomplete grades (I) will be given only in very rare circumstances. Generally, to receive a grade of "I", a student must be up to date on coursework and have a passing grade, and after the last date to withdraw, have a legitimate reason that prevents course completion. An incomplete grade cannot be carried beyond the established date in the following semester. The completion date is determined by the instructor but may not be later than the final deadline for withdrawal in the subsequent semester.
Communication with Your Instructor: All e-mail communication to students will be sent solely to the student’s ACCmail account or math software if applicable, with the expectation that such communications will be read in a timely fashion. Likewise, students should use their ACCmail account or math software when communicating with instructors. Instructors will respond to student emails within 3 business days, if no response has been received by the student at the end of that time, then the student should send a reminder to the instructor.
Name Change Information: If you want to change how your name appears online at ACC, go to https://www.austincc.edu/admissions/update-student-information/chosen-name.
General College Policies: Policies that apply to all courses at ACC can be found here: https://www.austincc.edu/offices/academic-outcomes-assessment/master-syllabi/college-policies.
Readings
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
Course Subjects
Course Calendar
Note: Schedule changes may occur during the semester. Any changes will be announced in class and posted as a Blackboard Announcement.
Week |
Date |
Section |
Exam |
Aug 21 Aug 23 |
2.1 Policies and Prereqs, The Idea of Limits 2.2 Definitions of Limits |
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2 |
Aug 28 Aug 30 |
2.3 Techniques for Computing Limits 2.4 Infinite Limits |
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3 |
Sep 4 Sep 6 |
Labor Day (holiday) 2.5 Limits at Infinity 2.6 Continuity |
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4 |
Sep 11
Sep 13 |
3.1 Introducing the Derivative 3.2 Derivative as a Function
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Exam 1 (2.1 – 2.6) |
5 |
Sep 18 Sep 20 |
3.3 Rules of Differentiation 3.4 Product and Quotient Rules |
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6 |
Sep 25
Sep 27 |
3.5 Derivatives of Trig Functions 3.6 Derivatives as Rates of Change 3.7 The Chain Rule |
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7 |
Oct 2
Oct 4 |
3.8 Implicit Differentiation 3.9 Derivatives of Log and Exponential Functions 3.10 Derivatives of Inverse Trigonometric Functions |
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8 |
Oct 9 Oct 11 |
3.11 Related Rates |
Exam 2 (3.1 – 3.10) |
9 |
Oct 16 Oct 18 |
4.1 Maxima and Minima 4.2 Mean Value Theorem |
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10 |
Oct 23 Oct 25 |
4.3 What Derivatives Tell Us 4.4 Graphing Functions |
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11 |
Oct 30 Nov 1 |
4.5 Optimization Problems 4.6 Linear Approximation and Differentials |
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12 |
Nov 6 Nov 8 |
4.7 L’Hopital’s Rule
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Exam 3 (3.11 – 4.6) |
13 |
Nov 13 Nov 15 |
4.9 Antiderivatives 5.1 Approximating Areas Under Curves 5.2 Definite Integrals |
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14 |
Nov 20 Nov 22 |
5.3 Fundamental Theorem of Calculus 6.1 Velocity and Net Change |
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15 |
Nov 27 Nov 29 |
5.4 Working with Integrals 5.5 Substitution Rule |
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16 |
Dec 4 Dec 6 |
Review
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Exam 4 (final) |
Student Learning Outcomes/Learning Objectives
Course Objectives
- Find limits of functions (graphically, numerically and algebraically)
- Analyze and apply the notions of continuity and differentiability to algebraic and transcendental functions.
- 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.
- Construct detailed graphs of nontrivial functions using derivatives and limits.
- Use basic techniques of integration to find particular or general antiderivatives.
- Demonstrate the connection between area and the definite integral.
- Apply the Fundamental theorem of calculus to evaluate definite integrals.
- Use differentiation and integration to solve real world problems such as rate of change, optimization, and area problems.
Student Learning Outcomes
Upon successful completion of the course, a student should be able to:
- Solve tangent and area problems using the concepts of limits, derivatives, and integrals.
- Draw graphs of algebraic and transcendental functions considering limits, continuity, and differentiability at a point.
- Determine whether a function is continuous and/or differentiable at a point using limits.
- Use differentiation rules to differentiate algebraic and transcendental functions.
- Identify appropriate calculus concepts and techniques to provide mathematical models of real-world situations and determine solutions to applied problems.
- Evaluate definite integrals using the Fundamental Theorem of Calculus.
- Demonstrate an understanding of the relationship between derivatives and integrals using the Fundamental Theorem of Calculus.
General Education Competencies
- Critical Thinking: gathering, analyzing, synthesizing, evaluating and applying information is covered in every SLO.
- Quantitative and Empirical Reasoning: applying mathematical, logical, and scientific principles and methods is covered in every SLO.
- Technology Skills: using appropriate technology to retrieve, manage, analyze, and present information is covered in SLOs # 1, 2, 3, 5, and 7.
- Written, Oral and Visual Communication: communicating effectively adapting to purpose, structure, audience and medium is covered in every SLO.
Office Hours
T Th 12:30 PM - 1:20 PM NRG2 2111/2112 (across hall from classroom)
NOTEM W 5:00 PM - 5:50 PM RRC8 8323.09 (3rd floor, inside of Suite 8323)
NOTE If I'm not there at that time, I might already be in the classroom (8210)T Th 5:00 PM - 5:50 PM RRC8 8323.09 (3rd floor, inside of Suite 8323)
NOTE If I'm not there at that time, I might already be in the classroom (8211)M W 8:00 AM - 8:50 AM RRC8 8323.09 (3rd floor, inside of Suite 8323)
NOTE If I'm not there at that time, I might already be in the classroom (8305)Published: 08/24/2023 08:47:29