Note: This syllabus is common to all MATH 210 sections. Individual instructors may add additional requirements or recommendations.
Department: Mathematics and Statistics
Name: ___________________________
Contact Information: ________________________________________
Class Meeting Time/Place : ____________________________________
Semester Offered: FALL/SPRING/SUMMER
Office Hours and office location: _______________________________
Subject/Curricular Designation: Mathematics
Catalog Number: MATH 210-****
Course Title: Calculus I
Course Description from the UMKC catalog: Functions and graphs, rational, trigonometric, exponential functions, composite and inverse functions, limits and continuity, differentiation and its applications, integration and its applications.
Credit Hours: 4
Prerequisites: Four units of high school mathematics, including trigonometry, or Math 120 (Precalculus), or Math 110
(College Algebra) and Math 125 (Trigonometry).
Restrictions/exclusions:
Course component(format) : lecture
Course Instructional Mode: P (classroom based)
This course satisfies the UMKC General Education Core requirements as a Focus B (Scientific reasoning and quantitative analysis) course.
Required Materials: Textbook – Calculus : Early Transcendentals , 10th edition, by Anton, Bivens, and Davis (Publisher: Wiley)
+ WileyPLUS access code. (Note: an electronic version of the textbook is included with the WileyPLUS access code, hence a physical copy of the textbook is optional.) Students are required to self-enroll in the associated WileyPLUS course .
Evaluation and Grading Criteria: You will be graded on your work as well as your answers. An answer that is unsupported by your work may not receive credit. Final grades assigned for this course will be based on the percentage of total points earned and are assigned as follows:
Letter Grade
Percentage Description
20%
15%
Homework
Quizzes
A ≥ 90
89 ≤ A- < 90
88 ≤ B+ < 89
70 ≤ C < 78
69 ≤ C- < 70
68 ≤ D+ < 69
40% 4 Exams (10% each) 80 ≤ B < 88 60 ≤ D < 68
25% Final 79 ≤ B- < 80 59 ≤ D- < 60
100% Total 78 ≤ C+< 79 F < 59
The final exam is mandatory; any student who does not take the final will receive an F for the class.
We will cover the following chapters from the book. See the attached schedule for details.



Chapter 1
Chapter 2
Chapter 3
Limits and Continuity (except 1.4)
The Derivative
Topics in Differentiation
 Chapter 4
 Chapter 5
 Chapter 6
The Derivative in Graphing and Applications (except 4.7)
Integration (except 5.1 and 5.10)
Applications of the Definite Integral (6.1, 6.2, 6.4 only)

WileyPLUS homework will be assigned weekly. The due dates of the on-line homework will be announced in class. You can also see any due assignments when you log on to WileyPLUS. It is strongly recommended to work on the homework related to a given section as soon as the section has been covered in class.
The WileyPLUS homework is set up so that you have 5 attempts on your solutions. The problems are algorithmically generated. After 3 wrong attempts, you will be able to see the solution. While the 4 th attempt will have new data, seeing the solution of the 3 rd attempt should help. Do NOT rely too much on this help: make an honest effort to completely understand the method and own it, rather than mechanically mimicking the solution provided on the 3 rd attempt. (Ask yourself: Will I be able to solve a similar problem on the quiz without the help of Wiley?
)
Written homework will be assigned 4 times throughout the semester. The written homework will require careful writing of the solutions, in complete detail.
Quizzes: In-class quizzes (15-20 minutes) will be given about once a week, with some exceptions.
This course aims to provide a working knowledge of the concepts and theorems of elementary calculus of functions of one variable, through the following specific learning outcomes:

Work with the concept of derivative of a function, including the limit definition and the interpretation of the derivative as slope of the tangent line to a curve and a rate of change.

Determine the derivative and higher order derivatives of a function, and use derivatives to analyze and sketch the graph of a function of one variable, to determine absolute and relative extrema, and apply these techniques to solve optimization problems.
 Apply derivatives to compute limits (L’Hopital’s rule), approximate functions, solve related rates problems and analyze rectilinear motion.

Determine antiderivatives, indefinite and definite integrals of elementary functions, and integrate by substitution.
Use definite integrals to compute areas, volumes and length.
Calculator policy: Only scientific calculators will be allowed on quizzes and exams; no graphing calculators.
Policy on late homework and missed quizzes: The lowest two quiz grades and the lowest written homework will be dropped.
Consequently, no make-up quizzes will be given and no late written homework will be accepted. Late on-line homework will be accepted, but it will be marked down 50% after the due date/time.
Lecture expectations: Class attendance and participation is essential to student success. Come to class prepared: Before attending a lecture, read thoroughly (from the book and from your class notes) the material covered in the previous lecture and solve the related homework problems. During the lecture, we will discuss problems, work in groups sometimes, and analyze concepts. Ask questions, and participate in the discussion!
Midterms : The tentative dates for the midterms are __________________________________________
Final exam : Date and time of final exam: ______________________________________
With the exception of the summer semester, the final exam is common for all sections of MATH 210. The final exam is cumulative. The exams will mainly consist of problems similar to those assigned as homework or discussed in class. In addition, exam topics may include: provide complete definitions of relevant concepts, reproduce or justify statements of major theorems, provide relevant examples, answer conceptual questions.
For technical support with WileyPLUS, please contact the WileyPLUS technical support; you can live chat about any technical problem with their support staff.
For help with the mathematics , you have several options. You are always welcome to attend office hours. The Mathematics and Science Tutoring Center http://www.umkc.edu/asm/mast/ provides free tutoring; tutoring can be scheduled one-on-one or on-line. The web page http://roocal.wordpress.com/ has video lectures and copies of previous final exams, etc.

0
Introduction-Are you ready for Calculus?
1.1 Limits (An Intuitive Approach)
1.2 Computing Limits
1.3 Limits at Infinity; End Behavior of a Function
1.5 Continuity
1.6 Continuity of Trigonometric, Exponential, and Inverse…
2.1 Tangent Lines and Rates of Change
2.2 The Derivative Function
2.3 Introduction to Techniques of Differentiation
2.4 The Product and Quotient Rules
2.5 Derivatives of Trigonometric Functions
2.6 The Chain Rule
3.1 Implicit Differentiation
3.2 Derivatives of Logarithmic Functions
3.3 Derivatives of Exponential and Inverse Trigonometric...
3.4 Related Rates
3.5 Local Linear Approximation; Differentials
3.6 L'Hôpital's Rule; Indeterminate Forms
4.1
Analysis of Functions I: Increase, Decrease…
4.2 Analysis of Functions II: Relative Extrema; Graphing…
4.3 Analysis of Functions III: Rational Functions…
4.4 Absolute Maxima and Minima
4.5 Applied Maximum and Minimum Problems
4.6 Rectilinear Motion
4.8 Rolle's Theorem; Mean-Value Theorem
5.2 The Indefinite Integral
5.3 Integration by Substitution
5.4 The Definition of Area as a Limit; Sigma Notation
5.5 The Definite Integral
5.6 The Fundamental Theorem of Calculus
5.7 Rectilinear Motion Revisited Using Integration
5.8 Average Value of a Function and its Applications
5.9 Evaluating Definite Integrals by Substitution
6.1 Area Between Two Curves
6.2 Volumes by Slicing; Disks and Washers
6.4 Length of a Plane Curve
(Include additional days/dates for exams, midterms, quizzes, review days.)
2
1
1
1
2
1.5-2
1
1
1
1
1
Approx. nr. of lessons
1.5
1
1
2
1.5-2
1
1
1.5-2
1
2
1
1
2
1
1
2
1
1
1
1
1
1
2
1
1
Review
9,5,23
1,5,15,16,17,31,37
3,5,13,19,27,33,39
5,13,17,29
11,17,21,27,50
3,11,23
1,7,11,23
1,3,5,9,16,43,47
6,11,17,21,29
1,7,13,19,23,31
3,7,15,19,27,37,53
5,7,11,15,19,27
1,5,7,11,15,19,25,35
3,7,17,21,23,31,37,43,47
13,15,17,19,25
1,9,21,23,26,39,43
7,11,15,17,25,27,35,43
1,9,15,29
3,5,9,11,25,33
7,11,13,16,21,27
3,5,19,31,41
7,17,20,27
1,3,6,20,21
5,9,11,14,17,19
3,9,12,15,19,25,35
27,45
13,19,21,23,27
5,9,13,17,25
5,7,13,15
3,5,7,9,11
1,5,9,13,15
1,5,7,13,48
1,2,3,4,19
3,5,7,15