SYLLABUS: CALCULUS HONORS S.Y. 2013 - 2014
Instructor: Melanie Sanchez
Email: [email protected]
Website: sancheztmsa.weebly.com
Course Description: Honors Calculus provides the student with a rigorous course in calculus with in-depth instruction in the basic concepts of calculus. The course is designed for those students not planning to take the Advanced Placement Examination in Calculus. Calculus brings together many of the concepts and procedures from algebra, geometry and trigonometry.
The focus in the first half of the year will be on functions, limits and differential calculus with an emphasis on real world problems in the area of related rates, optimization and motion. The focus in the second half of the year will be on integral calculus with applications that include finding areas enclosed by the graphs of functions, finding the volumes of shapes defined by functions and calculating quantities by integrating derivative functions
Textbook: Calculus of a Single Variable 9th edition by Larson and Edwards
Needed Supplies: YOU NEED TO BRING THESE EVERYDAY!
1. Textbook
2. GRAPHING CALCULATOR: Recommended TI 83 and TI 84 (with batteries)
3. Math binder/ notebook
4. Paper, pencil
5. Dry-erase markers -4pack (you will turn these in on the first week)
Classroom Expectations:
1. RESPECT all people and property
2. RESPONSIBILITY: Be on time and prepared for class
Grading Policy:
Tests/Projects = 30%
Quizzes =25%
MidTerm and Final Exam = 15%
Class work = 15%
Homework = 10%
Participation/Notes/Bellwork = 5%
Triad Math and Science Academy Grading Policy
100-93% :A 92-85% : B 84-77% : C 76-70%:D Below 70% : F
Course Policies and Expectations:
Daily Assignments/ Homework: Expect to receive daily assignments that require approximately 15-30 minutes for completion. Assignments will provide students with adequate practice of the course material and completion of each assignment is necessary for full development and formal understanding. Most assignments will be given from the Textbook with a few supplemented assignments throughout the year. Your assignments will be graded on accuracy and sometimes on completion. It is YOUR RESPONSIBILITY to check that your work is correct. If you are unable to complete an assignment because you have questions you need to mark the problems that you could not solve and ASK FOR HELP the next class day. Late work is only accepted for ½ credit during the time frame of the unit of study.
Projects and POWs: Periodically you will be given projects, POWs (Problems of the week), or other assignments that require more time than a typical homework assignment. These assignments will be explained in greater detail at their given date.
Quizzes: Quizzes will always be announced and will take place on either a Monday or Friday. Quizzes will cover 2 or 3 sections of an entire unit but will have the same level of difficulty as a test. If you miss a quiz it is your responsibility to schedule a time to take it. Missed quizzes will be entered as a zero until they are completed. You must take the quiz before the unit test is given.
Unit Tests: These assessments will cover a large portion of a unit or an entire unit and will be worth twice as many points as quizzes. Unit quizzes are good indicators of how well you are prepared for the unit test. Tests will always be announced one week in advance and will fall on math test days. (Mondays and Fridays) If a student misses a test they must schedule to make up the test within a reasonable time. The test must be taken before the next unit test. The test will be marked as missing, and will result in a score of zero points until it is made up.
Midterm and Final Exam: The midterm and final exam will be comprehensive exams given at the end of each semester. These exams will test your knowledge of all learned material including graphing calculator use, free response and multiple choice questions, and expression of mathematical content using symbolic and written notation.
Late work:
Late daily assignments/homework will receive 50% credit if turned in within the given unit of study. Late POW’s will not be accepted after the class has graded them unless the student completes them in office hours for 50% credit. Late project presentations will not be scored unless the student can schedule another time to present and the project/presentation rubric will reflect the late penalty.
Course Outline:
Unit 1 – Preparing for Calculus
• Graphs and Models
• Linear Models and Rates of Change
• Functions and their Graphs
• Fitting Models to Data
Unit 2 – Limits and Their Properties
• Finding Limits Graphically and Numerically
• Evaluating Limits Analytically
• Continuity
• Intermediate Value Theorem
• Vertical Asymptotes of Functions
• Infinite limits
Unit 3 – Differentiation
• The Derivative, Tangent Lines, and Slope
• The Derivative as a Limit
• Basic Differentiation Rules and Rates of Change
• Differentiability and Continuity
• Power, Product and Quotient Rules
• Higher Order Derivatives
• The Chain Rule
• Instantaneous and Average Rates of Change
• Position Functions, Velocity, and Acceleration
• Implicit Differentiation
• Related Rates Problems
• Graph Relationships for f, f’, and f’’
Unit 4 – Applications of Differentiation
• Extrema on an Interval and the Extreme Value Theorem
• Rolle’s Theorem and the Mean Value Theorem
• Increasing and Decreasing Functions, Monotonicity, and the First Derivative Test
• Concavity, Inflection Points, and the Second Derivative Test
• Limits at Infinity
• Horizontal and Slant Asymptotes
• Summary of Curve Sketching
• Optimization (Max/Min) Problems
• Newton’s Method
• Differentials and Linear Approximation
Unit 5 – Integration
• Anti-derivatives and Indefinite Integration
• Specific Anti-derivatives Using Initial Conditions
• Area of a Region
• Riemann Sums and Definite Integrals
• Fundamental Theorem of Calculus • Second Fundamental Theorem of Calculus and the Average Value of a Function
• Integration by Substitution
• Trapezoidal Rule
Unit 6 – Logarithmic, Exponential, and other Transcendental Functions
• Derivatives and Integrals of the Natural Logarithmic Function
• Derivatives and Integrals of the Natural Exponential Function
• Bases other than e
• Applications
• Derivatives of Inverse Trigonometric Functions
• Integration Involving Inverse Trigonometric Functions
Unit 7 – Differential Equations
• Slope Fields and Euler’s Method
• Using Separation of Variables to Solve Differential Equations
• Growth and Decay Problems and other applications
Unit 8 - Applications of Integration
• Area of a Region Between Two Curves
• Volume: Disk Method
• Volume: Shell Method
• Volume of a Solid with Known Cross Sections
• More Work on Position Functions, Velocity, and Acceleration
Tutoring sessions: I will tutor every Tuesday afternoon for Calculus.
Classroom Procedures
1. When you enter class you will start the Warm Up/Bellwork, which will be on the board, and take out your homework.
2. You have 5 minutes to complete the Warm Up. It will always be a review of the previous day's lesson or homework assignment. Turn it in after 5 minutes.
3. Binders must be organized in chronological order (Notes, Classwork, Quiz and Homework for each lesson)
4. Classwork and Homework must be labeled with Unit #, Lesson #, Page #, and Problem #. All work must be shown and final answer must be circled in order to get full credit.
5. All homework should be done in left column (in pencil), at the end of class and the following night revisions will be done in the right column (in pen or a different color).
6. Homework is graded as 0%, 50%, 100%:
· 0 - Homework is not complete
· 50%- Homework is started with very little effort. Many problems were skipped or no work was shown.
· 100%- Homework is complete. All work is shown and final answer is circled.
· Revisions count toward the binder check because they will have to be completed after the assigned due date. No late homework is accepted unless you have an excused absence. Homework will be checked at the start of every class during the Warm Up.
7. Quizzes and tests for each unit will be at the end of the binder after a divider. You must save all your quizzes and test so you will have them to study for your midterm and final
8. The binder is collected on the day of the unit exam.
Absences
Upon return from an excused absence, one week will be allowed for make-up work. I will be available after school to help you with anything you need. Students whose absences are unexcused will have no make-up eligibility. Please remember that it is the student’s responsibility to determine what has been missed, and complete any make-up work. All grades will be posted on the power school for you and your parent/guardian to check. All classwork assignments will be posted on our class website.
Expectations:
You will be expected to be on time and prepared for this class. You will also be expected to be courteous to everyone in the room. Work will not be accepted after the assigned due date. Please do not do work from other classes during this class.
*Extra credit will NOT be given to allow a student to pull up his/her grade. Students should prepare on a daily basis, take advantage of tutoring opportunities and always do their best.
*Cheating will NOT be tolerated for any assignment. Any student caught cheating will receive a zero for the assignment, quiz, or test. Copying another person’s homework is considered cheating. Discussing a test after it has been taken with another student who has not taken the test is considered cheating.
Disclaimer: The course syllabus is a general plan for the course; all information contained in the course syllabus/calendar is subject to change. Any changes will be announced in class and a revised syllabus distributed to students to be shared with their parents/guardians.
Parent/Student Contract:
I have read the syllabus for Calculus. I understand that my child will be held accountable towards Mrs. Sanchez’s classroom rules and policies.
Student Name: _______________________ Student Signature: ____________________
Parent/Guardian Name: __________________ Parent/Guardian Signature: _______________
Parent/Guardian
E-mail: …………………………………………………
Home Phone # : …………………………………………………
Work Phone #: …………………………………………………
Cell Phone #: …………………………………………………
Instructor: Melanie Sanchez
Email: [email protected]
Website: sancheztmsa.weebly.com
Course Description: Honors Calculus provides the student with a rigorous course in calculus with in-depth instruction in the basic concepts of calculus. The course is designed for those students not planning to take the Advanced Placement Examination in Calculus. Calculus brings together many of the concepts and procedures from algebra, geometry and trigonometry.
The focus in the first half of the year will be on functions, limits and differential calculus with an emphasis on real world problems in the area of related rates, optimization and motion. The focus in the second half of the year will be on integral calculus with applications that include finding areas enclosed by the graphs of functions, finding the volumes of shapes defined by functions and calculating quantities by integrating derivative functions
Textbook: Calculus of a Single Variable 9th edition by Larson and Edwards
Needed Supplies: YOU NEED TO BRING THESE EVERYDAY!
1. Textbook
2. GRAPHING CALCULATOR: Recommended TI 83 and TI 84 (with batteries)
3. Math binder/ notebook
4. Paper, pencil
5. Dry-erase markers -4pack (you will turn these in on the first week)
Classroom Expectations:
1. RESPECT all people and property
2. RESPONSIBILITY: Be on time and prepared for class
Grading Policy:
Tests/Projects = 30%
Quizzes =25%
MidTerm and Final Exam = 15%
Class work = 15%
Homework = 10%
Participation/Notes/Bellwork = 5%
Triad Math and Science Academy Grading Policy
100-93% :A 92-85% : B 84-77% : C 76-70%:D Below 70% : F
Course Policies and Expectations:
Daily Assignments/ Homework: Expect to receive daily assignments that require approximately 15-30 minutes for completion. Assignments will provide students with adequate practice of the course material and completion of each assignment is necessary for full development and formal understanding. Most assignments will be given from the Textbook with a few supplemented assignments throughout the year. Your assignments will be graded on accuracy and sometimes on completion. It is YOUR RESPONSIBILITY to check that your work is correct. If you are unable to complete an assignment because you have questions you need to mark the problems that you could not solve and ASK FOR HELP the next class day. Late work is only accepted for ½ credit during the time frame of the unit of study.
Projects and POWs: Periodically you will be given projects, POWs (Problems of the week), or other assignments that require more time than a typical homework assignment. These assignments will be explained in greater detail at their given date.
Quizzes: Quizzes will always be announced and will take place on either a Monday or Friday. Quizzes will cover 2 or 3 sections of an entire unit but will have the same level of difficulty as a test. If you miss a quiz it is your responsibility to schedule a time to take it. Missed quizzes will be entered as a zero until they are completed. You must take the quiz before the unit test is given.
Unit Tests: These assessments will cover a large portion of a unit or an entire unit and will be worth twice as many points as quizzes. Unit quizzes are good indicators of how well you are prepared for the unit test. Tests will always be announced one week in advance and will fall on math test days. (Mondays and Fridays) If a student misses a test they must schedule to make up the test within a reasonable time. The test must be taken before the next unit test. The test will be marked as missing, and will result in a score of zero points until it is made up.
Midterm and Final Exam: The midterm and final exam will be comprehensive exams given at the end of each semester. These exams will test your knowledge of all learned material including graphing calculator use, free response and multiple choice questions, and expression of mathematical content using symbolic and written notation.
Late work:
Late daily assignments/homework will receive 50% credit if turned in within the given unit of study. Late POW’s will not be accepted after the class has graded them unless the student completes them in office hours for 50% credit. Late project presentations will not be scored unless the student can schedule another time to present and the project/presentation rubric will reflect the late penalty.
Course Outline:
Unit 1 – Preparing for Calculus
• Graphs and Models
• Linear Models and Rates of Change
• Functions and their Graphs
• Fitting Models to Data
Unit 2 – Limits and Their Properties
• Finding Limits Graphically and Numerically
• Evaluating Limits Analytically
• Continuity
• Intermediate Value Theorem
• Vertical Asymptotes of Functions
• Infinite limits
Unit 3 – Differentiation
• The Derivative, Tangent Lines, and Slope
• The Derivative as a Limit
• Basic Differentiation Rules and Rates of Change
• Differentiability and Continuity
• Power, Product and Quotient Rules
• Higher Order Derivatives
• The Chain Rule
• Instantaneous and Average Rates of Change
• Position Functions, Velocity, and Acceleration
• Implicit Differentiation
• Related Rates Problems
• Graph Relationships for f, f’, and f’’
Unit 4 – Applications of Differentiation
• Extrema on an Interval and the Extreme Value Theorem
• Rolle’s Theorem and the Mean Value Theorem
• Increasing and Decreasing Functions, Monotonicity, and the First Derivative Test
• Concavity, Inflection Points, and the Second Derivative Test
• Limits at Infinity
• Horizontal and Slant Asymptotes
• Summary of Curve Sketching
• Optimization (Max/Min) Problems
• Newton’s Method
• Differentials and Linear Approximation
Unit 5 – Integration
• Anti-derivatives and Indefinite Integration
• Specific Anti-derivatives Using Initial Conditions
• Area of a Region
• Riemann Sums and Definite Integrals
• Fundamental Theorem of Calculus • Second Fundamental Theorem of Calculus and the Average Value of a Function
• Integration by Substitution
• Trapezoidal Rule
Unit 6 – Logarithmic, Exponential, and other Transcendental Functions
• Derivatives and Integrals of the Natural Logarithmic Function
• Derivatives and Integrals of the Natural Exponential Function
• Bases other than e
• Applications
• Derivatives of Inverse Trigonometric Functions
• Integration Involving Inverse Trigonometric Functions
Unit 7 – Differential Equations
• Slope Fields and Euler’s Method
• Using Separation of Variables to Solve Differential Equations
• Growth and Decay Problems and other applications
Unit 8 - Applications of Integration
• Area of a Region Between Two Curves
• Volume: Disk Method
• Volume: Shell Method
• Volume of a Solid with Known Cross Sections
• More Work on Position Functions, Velocity, and Acceleration
Tutoring sessions: I will tutor every Tuesday afternoon for Calculus.
Classroom Procedures
1. When you enter class you will start the Warm Up/Bellwork, which will be on the board, and take out your homework.
2. You have 5 minutes to complete the Warm Up. It will always be a review of the previous day's lesson or homework assignment. Turn it in after 5 minutes.
3. Binders must be organized in chronological order (Notes, Classwork, Quiz and Homework for each lesson)
4. Classwork and Homework must be labeled with Unit #, Lesson #, Page #, and Problem #. All work must be shown and final answer must be circled in order to get full credit.
5. All homework should be done in left column (in pencil), at the end of class and the following night revisions will be done in the right column (in pen or a different color).
6. Homework is graded as 0%, 50%, 100%:
· 0 - Homework is not complete
· 50%- Homework is started with very little effort. Many problems were skipped or no work was shown.
· 100%- Homework is complete. All work is shown and final answer is circled.
· Revisions count toward the binder check because they will have to be completed after the assigned due date. No late homework is accepted unless you have an excused absence. Homework will be checked at the start of every class during the Warm Up.
7. Quizzes and tests for each unit will be at the end of the binder after a divider. You must save all your quizzes and test so you will have them to study for your midterm and final
8. The binder is collected on the day of the unit exam.
Absences
Upon return from an excused absence, one week will be allowed for make-up work. I will be available after school to help you with anything you need. Students whose absences are unexcused will have no make-up eligibility. Please remember that it is the student’s responsibility to determine what has been missed, and complete any make-up work. All grades will be posted on the power school for you and your parent/guardian to check. All classwork assignments will be posted on our class website.
Expectations:
You will be expected to be on time and prepared for this class. You will also be expected to be courteous to everyone in the room. Work will not be accepted after the assigned due date. Please do not do work from other classes during this class.
*Extra credit will NOT be given to allow a student to pull up his/her grade. Students should prepare on a daily basis, take advantage of tutoring opportunities and always do their best.
*Cheating will NOT be tolerated for any assignment. Any student caught cheating will receive a zero for the assignment, quiz, or test. Copying another person’s homework is considered cheating. Discussing a test after it has been taken with another student who has not taken the test is considered cheating.
Disclaimer: The course syllabus is a general plan for the course; all information contained in the course syllabus/calendar is subject to change. Any changes will be announced in class and a revised syllabus distributed to students to be shared with their parents/guardians.
Parent/Student Contract:
I have read the syllabus for Calculus. I understand that my child will be held accountable towards Mrs. Sanchez’s classroom rules and policies.
Student Name: _______________________ Student Signature: ____________________
Parent/Guardian Name: __________________ Parent/Guardian Signature: _______________
Parent/Guardian
E-mail: …………………………………………………
Home Phone # : …………………………………………………
Work Phone #: …………………………………………………
Cell Phone #: …………………………………………………