Syllabus for Calculus I (Math 165) Chapter and Section references are to Thomas' Calculus, Early Transcendentals, 12th ed. Times are suggested based on a 15-week semester of 59 class meetings, allowing 9 days for review and exams. An outline of topics to be covered in AP Calculus AB is provided within this syllabus. This course is designed to provide students with instruction and a learning experience equivalent to a college course in single variable calculus. AP Calculus AB 2019-2020 Syllabus (DOCX 103 KB) NEED HELP DOWNLOADING: docx file: You need the Microsoft Word program, the Microsoft Word app, or a program that can import Word files in order to view this file. Please note that is just a sample syllabus, actual syllabi for the various sections of the course will likely be different each semester. Different instructors may choose somewhat different material. The number of class sessions varies between fall and spring semesters, Monday-Wednesday and Tuesday.

1. Syllabus For Ap Calculus Bc
2. Syllabus Of Ap Calculus
3. Syllabus Precalculus

Syllabus Sections

Publish Date

08/02/2012 17:52:23

Calculus I

MATH-2413

Fall 2012
08/27/2012 - 12/16/2012

Course Information

Section 012
Lecture
MW 14:50 - 16:35
RGC1 336
Paul Wright

Section 013
Lecture
MW 19:30 - 21:15
RGC1 337
John Vawter

Office Hours

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Course Requirements

MATH 2413 Calculus I

MATH 2413-012, 013, Calculus I Michael McCarthy, Ph.D.

Fall 2012 223 3294

Synonym: 14495, 14496 mmccarth@austincc.edu

MW 2:50 - 4:35 Office: RGC 332

RGC 336 Hours: MW 1:40 - 2:40

Other hours by appointment

Syllabus For Ap Calculus Bc

Course Description: MATH 2413 CALCULUS I (4-4-0). A standard first course in calculus. Topics include inequalities; functions; limits; continuity; the derivative; differentiation of algebraic functions and trigonometric functions; Newton's method; applications of the derivative; the integral; integration of algebraic functions and the sine and cosine functions; numerical integration; and applications of the integral. Prerequisites: MATH 2412 with C or better or equivalent. Another option is an appropriate secondary school course (one year of precalculus or the equivalent, including trigonometry, with a B or better) and a satisfactory entrance score on the ACC Mathematics Assessment Test.

Required Text and Optional Materials:The required textbook for this course is: Calculus: Concepts and Contexts,4th ed., by James Stewart, Brooks/Cole 2010

Optional:Student Solutions Manual, Single Variable ISBN 0-495560618 by Jeffrey A. Cole, Study Guide ISBN 495560642 by Dan Clegg, Scientific Notebook software, single version, Doing Calculus with Scientific Notebook, by Daniel W. Hardy, Carol L. Walker.

Technology required: You must have access to technology which 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.

Instructional Methodology: This course is taught in the classroom primarily as a lecture/discussion course.

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 four-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.

MATH 2413 Calculus I 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 derivative 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.

Readings

Required Text and Optional Materials:The required textbook for this course is: Calculus: Concepts and Contexts,4th ed., by James Stewart, Brooks/Cole 2010

Course Subjects

Lecture	Topic(s)
1	Function representations, Essential functions,
2	Arithmetic of functions, Graphing, Exponential functions, Inverse functions,
3	Parametric curves,
4	Tangent and velocity,
5	Limit of a function,
6	Calculating limits,
7	Continuity, Limits at infinity,
8	TEST ONE
9	Derivatives and rates of change, Relationship of f' to f,
10	Derivatives of polynomials, Derivative of exponential functions,
11	Product rule, Quotient rule,
12	Derivative of trigonometric functions,
13	Chain rule,
14	Implicit differentiation,
15	Derivatives of inverse trigonometric functions,
16	Linear approximation and differentials,
17	TEST TWO
18	Related rates,
19	Maximum and minimum values,
20	Derivatives and curves,
21	Graphing with Calculus,
22	L’Hospital’s rule,
23	Optimization,
24	Newton’s method,
25	Antiderivatives,
26	TEST THREE
27	Area and distance,
28	Definite integral,
29	Evaluation theorem,
30	Fundamental theorem of Calculus,
31	Substitution rule
32	TEST FOUR

Student Learning Outcomes/Learning Objectives

MATH 2413 Calculus I 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 derivative 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.

Welcome to Mathematics E-15: Calculus I

Please ignore what Canvas may display at the right about assignment weights and instead read the grading schemes in the Course Information file below; Canvas isn't able to display our grading scheme properly.

Course Information: personnel, textbook, grading, calculators, extra help, accessibility services
Schedule: what's happening and when it's happening
Homework Policies: how, when, and where to submit your homework and not lose points unnecessarily
Exam Policies: how, when, and where to take exams and how to submit proctor information for distance students
Textbook FAQ: answers to common textbook-related questions (and tips to get an inexpensive book)
Prerequisite FAQ: recommended background, the optional placement test, course preparation suggestions
Credit Status FAQ: information to help you choose undergraduate, graduate, or noncredit status
Distance Student FAQ: some special notes for distance students
Additional Problems(4th edition, 5th edition, 6th edition, 7th edition): recommended extra problems from four editions of the textbook
Graduate Credit Seminar: information on the seminar for Local Students and for Distance Students
Graduate Credit Handouts (print each before watching the video):Day One • Day Two • Day Three • Day Four and for extra reading on limits: Supplement
Graduate Credit Lessons: Lesson Ideas topics for your lessons, the rubric for the lessons you will present
Graduate Credit applet we will use to explore the epsilon-delta definition of the limit
Homework	HW1 • HW2 • HW3• HW3a • HW4 • HW5• HW6 • HW7 • HW7a • HW8 • HW9
Zoom	We will be using Zoom for the graduate seminar presentations for distance graduate credit students. Harvard has provided contact informationfor you to get help if you have technical difficulties with Zoom. Eric has written some suggestions on using Zoom including some important notes on presenting your lessons.

The syllabus page shows a table-oriented view of the course schedule, and the basics ofcourse grading. You can add any other comments, notes, or thoughts you have about the coursestructure, course policies or anything else.

To add some comments, click the 'Edit' link at the top.

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Syllabus Of Ap Calculus

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Syllabus Precalculus

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