Calculus: MAT 112 Syllabus



A MAT 112 Calculus I Syllabus

Instructor: Colleen Pendergast, cpendergast@windsor-csd,org

Class Meets: Mon – Fri. 6th mod (11:34 – 12:16). This is a full year course.

Additional Help: available after school and during instructor’s study hall mods. Arrange time with instructor after school ahead of time.

Text: Calculus: A New Horizon 6th ed. by Howard Anton

Prerequisites: successful completion of Pre-Calculus at the high school level.

General Ed Category: Mathematics and Statistics: Courses here enable students to demonstrate

1) knowledge of concepts, terms, and symbols used to analyze data

2) an ability to formulate problems in abstract form amenable to mathematical, statistical, or logical analysis.

3) an ability to perform appropriate operations to draw conclusions from data.

4) an ability to interpret and communicate quantitative information.

Course Description: This course covers material as outlined in the UHS at Albany A MAT 112 Calculus 1 course. Students should have completed a Pre-Calculus course successfully prior to this Calculus course and be familiar with algebra, geometry, trigonometry, and functions as covered in previous math courses. Students should have their own graphing calculator, preferably a TI-83 or TI-84, as that is the one used in class. This is a calculus of one variable course. The following topics will be covered in thus course: Limits, continuity, differentiation of algebraic functions, applications of differentiation, anti-derivatives, the definite integral, and transcendental functions.

Course Objective: To develop a strong understanding of the basic concepts of calculus.

Grading: Grades are based upon homework assignments, quizzes, tests, and take home problems. Tests will be announced a few days prior. Quizzes are generally announced a day in advance. Some quizzes are short in length and others a little longer. Mid-Term and Final Exam will be announced. Mid Term will most likely be in January and the final exam in June. Grades are done on a point system. At completion of the course, pending course approval from SUNY Albany, a grade of A – E will be assigned for your overall course grade. There is no S/U (Pass/Fail) option for this course.

In determining your final grade for the University at Albany transcript, Tests are 30%, Quizzes are 20%, Homework/Classwork are 30%, and the final exam is 20%. A grade of A – E will be submitted to the University at Albany upon completion of the course.

Grading Scheme: Used for determining final grade at completion of the course.

|A |100 – 93 |B- |82 – 80 |D+ |69 – 67 |

|A- |92 – 90 |C+ |79 – 77 |D |66 – 63 |

|B+ |89 – 87 |C |76 – 73 |D- |62 – 60 |

|B |86 – 83 |C- |72 – 70 |E |Below 60 |

Homework: Homework will be assigned several times per week. It is highly recommended you keep up with your regular homework assignments. Assignments will re-enforce the basic concepts learned in class and some problems will ask you to extend beyond your basic understanding. If you are struggling with the material, I encourage you to seek help as soon as possible. Typically in a college level calculus course you will have to spend additional time outside of class learning calculus, which is a very important key to mastering required techniques.

Attendance: Attendance in class is an integral part of the course and is required. If course is approved, UHS at Albany has an attendance policy. UHS Albany recommends a maximum of 10 absences for a full year course. 2 points will be deducted from your final grade for every absence beyond the allowable 10. If a student knows ahead of time that they will miss a course, I expect them to see me before hand to get what will be missed. If a student is out, it is their responsibility to see me and make up any missed work. You should also seek out missed notes from a fellow student in the class.

General Policies: All Windsor school district and high school policies are to be adhered to. It is very important that students come to class prepared everyday and with a willingness to learn. Plagiarism of any kind will not be tolerated in this course and could result in failing the class. Out of respect for your fellow students desire to learn and your instructor’s desire to teach, you are required to: arrive on time, have your cell phone turned off (no usage of any kind will be tolerated, including texting), and not distract others in the room. You will be respectful during the time the instructor is teaching as well as when other students are asking/answering a question. Active participation in class and sharing of ideas is strongly encouraged.

Standards of Integrity: Pending approval from Albany, UHS at the University at Albany expects all members of its community to conduct themselves in a manner befitting its tradition of honor and integrity. Behavior that is detrimental to the University’s role as an educational institution is unacceptable. The following are examples of the types of behaviors that are unacceptable to the University at Albany: Plagiarism, cheating on exams, sabotage, submitting the same work for credit more than once, bribery, and falsification.

Outline for Calculus

Text: A New Horizon by Howard Anton, Sixth Edition

Calculator Review, Algebra Review,Trig Review, etc.. (3 days)

Chapter 1: Functions (2 + weeks, ( 10 days)

Properties of Functions Mathematical models

Graphing functions on calculators Families of Functions

New Functions from old

Chapter 2: Limits and Continuity (( 3 weeks or 15 classes)

Intro to Limits Continuity

Computational Techniques Limits and Continuity of trig functions

Chapter 3: Derivative (( 4 weeks or 20 classes)

Tangent Lines and Rates of change Chain Rule

Techniques of differentiation Derivatives of Trig Functions

Chapter 4: Logarithmic and Exponential Functions: (( 3 weeks or 15 classes)

Inverse Functions Derivatives of inverse trig functions

Logarithmic and exponential functions Related Rates and L’Hopital’s rule

Implicit differentiation

Derivatives of Log and Exponential Functions

Chapter 5: Analysis of Functions and their graphs (2 + weeks or 10 –12 classes)

Increase, Decrease, and Concavity First and Second Derivative Tests

Relative Extrema Applying technology and tools of calculus

Chapter 6: Applications of the Derivative: (( 3 weeks or 15 classes)

Absolute Maxima and Minima Newton’s Method (brief)

Applied Max and Min Problems Rolle’s Theorem, MVT

Rectilinear Motion

Chapter 7: Integration (( 3- 4 weeks or 15 – 20 classes)

Overview of Area Problem Definite Integral

Indefinite Integral, integral curves Fundamental Theorem of Calculus

Integration by Substitution Rectilinear Motion, Average Value

Evaluating Definite Integrals by substitution

Log Functions from integral point of view

Chapter 8: Area and Volume (( 2 weeks or 10 classes)

Area Between Two Curves Volume of Solids of Revolution

Volume by slicing

Chapter 10: Differential Equations (( 1 week or 5 classes)

First Order Separable Models increase, decrease

Review and Final Exam (~ 8 classes)

There is typically a test after each chapter. Some of the smaller chapters may be combined for a test.

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