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Math

# Calculus I (10-Week)

In this 10 week course, students will learn the topics included in a college-level Calculus I course.

There are no upcoming classes.

120 minutes

per class

3x per week

over 10 weeks

12-17

year olds

1-18

learners per class

per learner - per class

### How does a "Multi-Day" course work?

Meets multiple times at scheduled times

Live video chats, recorded and monitored for safety and quality

Discussions via classroom forum and private messages with the teacher

Great for engaging projects and interacting with diverse classmates from other states and countries

### How Outschool Works

### There are no open spots for this class.

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## Description

### Class Experience

Student Learning Outcomes The student will at least be able to demonstrate competency in: 1) Functions a. Express/Evaluate a function explicitly and implicitly b. Add/Subtract/Multiply/Divide and use compositions c. Describe domain & range d. Classify as algebraic/transcendental e. Use in Mathematical models f. Find absolute/relative extrema, influx points g. Find intervals where increasing/decreasing h. Find intervals where concave up/down 2) Graphing a. Draw a representative graph to model phenomena b. Use graphs to infer function behavior & evaluation c. Locate points on a graph satisfying certain requirements about continuity/limits/derivatives d. Describe a graph (function rule not needed) satisfying certain requirements about continuity/limits/derivatives e. Visually describe the meaning of all critical theorems/ideas in Calculus through a graphical picture 3) Limits a. Explore limits numerically, graphically, and analytically b. State informal definitions of one and two sided limits c. Use Limit laws to evaluate simple limits d. Use various techniques to evaluate limits e. State definition of Continuity and express continuity on an interval in terms of a graph f. Describe/provide examples of the forms of discontinuity 4) Derivatives a. Describe, evaluate, and relate rates of change b. State definition of the derivative of a function c. Evaluate derivative of algebraic functions by definition d. Evaluate derivatives of algebraic, trigonometric, logarithmic, and exponential functions through rules e. Find equation of tangent/secant lines f. Use 1st/2nd Derivative Tests g. Use Newton’s method/differentials to approximate values 5) Summation & Integration a. Evaluate Basic Anti-derivatives through rules b. Evaluate Anti-derivatives through variable substitution and pattern recognition c. Use & simplify summation notation d. State the definition of a definite integral e. Evaluate definite integrals by definition/graphical means f. Evaluate definite integral through the fundamental theorem of calculus and properties of definite integrals

Take-Home Work Students will be assigned 2 types of take-home work, Homework and Assignments. Homework There will be 10 homework problems given for each section of the book. These problems will not be gone over in-class, but an answer key will be provided after the submission date. Assignments Assignments are mostly multiple choice with a few free response questions. There is no partial credit for multiple-choice problems, and each is worth 2 points. The free response questions are each worth 5 points. Points are awarded by the student meeting particular criteria. Only one of these will be that the student found the correct answer, and this is usually no more than 2 points out of the five.

Course Materials Textbook (**OPTIONAL**) Thomas’ CALCULUS Early Transcendentals 14th Edition Author: Weir, Hass (The textbook is NOT required for this course, but it is useful to have. The required material from the textbook will be provided as part of the cost of the class) Calculator Students should have a graphing calculator. Most schools/colleges/universities only permit the TI-83 or TI-84, so if you need to purchase a calculator, I would recommend investing in one of those models.

Learners will not need to use any apps or websites beyond the standard Outschool tools.

Grading The final letter grade will be determined by the following scale: A+ (98-100) A (93-98) A- (90-92) B+ (87-89) B (83-86) B- (80-82) C+ (77-79) C (73-76) C- (70-72) D (60-69) F (59 and below) Grading Distribution 70% 4 Exams 20% Assignments 10% Homework

6 hours per week in class, and an estimated 4+ hours per week outside of class.