- Course type: Self-paced
- Available Lessons: 135
- Average Lesson Length: 8 min
Eligible for Credit: Yes
Earn transferable credit by taking this course for credit.
Watch a preview:chapter 1 / lesson 1What is a Function: Basics and Key Terms
Course SummaryMath 104: Calculus has been evaluated and recommended for up to 6 semester hours and may be transferred to over 2,000 colleges and universities. Our expert instructors will simplify complex calculus topics, and the course's online format allows you to earn credit at any time that fits your schedule.
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Course Practice TestCheck your knowledge of this course with a 50-question practice test.
- Comprehensive test covering all topics
- Detailed video explanations for wrong answers
The course objective of Math 104 is to master the basics of calculus with an emphasis on limits, derivatives and integrals.
Your grade for this course will be calculated out of 300 points. The minimum score required to pass and earn real college credit for this course is 210 points, or an overall course grade of 70%. The table below shows the assignments you must complete and how they'll be incorporated into the overall grade.
|Proctored Final Exam||200|
Quizzes are meant to test your comprehension of each lesson as you progress through the course. Here's a breakdown of how you will be graded on quizzes and how they'll factor into your final score:
- You will have 3 attempts to take each quiz for a score.
- The highest score of your first 3 attempts will be recorded as your score for each quiz.
- When you've completed the course, the highest scores from your first 3 attempts at each quiz will be averaged together and weighed against the total possible points for quizzes. For instance, if your average quiz score is 85%, you'll receive 85 out of 100 possible points for quizzes.
- After your initial 3 attempts, you can take a quiz for practice as many times as you'd like.
- You will need to pass each quiz with a score of at least 80% to earn course progress for the lesson. However, it is not necessary to earn 80% within the first three quiz attempts.
Proctored Final Exam
The proctored final exam is a cumulative test designed to ensure that you've mastered the material in the course.
- You'll earn points equivalent to the percentage grade you receive on your proctored final. (So if you earn 90% on the final, that's 180 points toward your final grade.)
- If you're unsatisfied with your score on the exam, you'll be eligible to retake the exam after a 3-day waiting period.
- You can only retake the exam twice, so be sure to use your study guide and fully prepare yourself before you take the exam again.
- You may use the formula sheet provided in the 'Studying for Math 104' chapter.
Items Allowed on Study.com Proctored Exam for Math 104:
- A non-graphing, scientific calculator (We'll provide you access to Desmos scientific calculator during the final exam.)
- Blank scratch paper
- Pen or pencil
- Formula sheet provided in the 'Studying for Math 104' chapter
Items NOT Allowed on Study.com Proctored Exam for Math 104:
- Graphing calculators
- Office programs, web browsers, or any programs other than Software Secure (including Study.com lessons)
- Textbooks (digital or physical)
- Mobile phones, headphones, speakers, TVs, radios
- Notebooks or notes
Upon completion of this course, you will be able to:
- Identify continuities and discontinuities in functions and graphs
- Define and apply the Intermediate Value Theorem
- Determine the limits of functions and use a graph to define limits
- Summarize the formal definition of a derivative and appraise graphical representations of derivatives
- Calculate derivatives of trigonometric functions, polynomial equations, and exponential equations
- Calculate higher order derivatives
- Use Newton's Method to find roots of equations
- Define the Fundamental Theorem of Calculus
- Calculate integrals of trigonometric and exponential functions
- Solve integrals using substitution and trigonometric substitution
There are no prerequisites for this course, but many students choose to complete Math 103: Precalculus prior to Math 104: Calculus.
Math 104 consists of short video lessons that are organized into topical chapters. Each video is approximately 5-10 minutes in length and comes with a quick quiz to help you measure your learning. The course is completely self-paced. Watch lessons on your schedule whenever and wherever you want.
At the end of each chapter, you can complete a chapter test to see if you're ready to move on or have some material to review. Once you've completed the entire course, take the practice test and use the study tools in the course to prepare for the proctored final exam. You may take the proctored final exam whenever you are ready.
How Credit Recommendations Work
This course has been evaluated and recommended by ACE for 6 semester hours and NCCRS for 4 semester hours in the lower division baccalaureate degree category. To apply for transfer credit, follow these steps:
- If you already have a school in mind, check with the registrar to see if the school will grant credit for courses recommended by either ACE or NCCRS.
- Complete Math 104 by watching video lessons and taking short quizzes.
- Take the Math 104 final exam directly on the Study.com site.
- Request a transcript to be sent to the accredited school of your choice!
- Check out this page for more information on Study.com's credit-recommended courses.
|Graphing and Functions||Learn to graph basic functions, inverse functions and functions of functions. Discover ways to determine the equation of a line using point-slope formula and to recognize vertical and horizontal asymptotes.|
|Continuity||Examine continuity in a function, discontinuities in functions and graphs, and regions of continuity in a function. Define intermediate value theorem with examples and applications.|
|Vectors in Calculus||Identify vectors and how to graph and perform operations on them.|
|Geometry and Trigonometry||Get practice in visualizing geometry programs and calculating the volume of basic shapes. See how to use the Pythagorean Theorem and graph sines and cosines.|
|How to Use a Scientific Calculator||Study how to solve equations and understand trigonometry functions on a scientific calculator.|
|Limits||Explore ways to determine the limits of functions and use a graph to define limits. Study the properties of limits and the squeeze theorem, with examples.|
|Rate of Change||See how motion can define the rate of change, define and graph the Mean Value Theorem and explain how it relates to Rolle's Theorem. Define and graph derivatives.|
|Calculating Derivatives and Derivative Rules||See how the rules of differentiation can be used to calculate derivatives, calculate derivatives of exponential equations, and find derivatives of implicit functions. Examine derivatives of polynomial equations, derivatives of trigonometric functions, higher-order derivatives, derivatives of inverse trigonometric functions, and linear properties of a derivative.|
|Graphing Derivatives and L'Hopital's Rule||Understand L'Hopital's Rule and be able to apply it in simple and complex cases. Learn how to graph the derivative from any function and how to show maximum and minimum values and points on a graph.|
|Applications of Derivatives||Study the estimation of function values with linearization. Understand Newton's method and be able to use it to find roots of equations.|
|Series||Learn about different series such as p-series, harmonic, Taylor series, Maclaurin series, their formulas, and how to calculate them.|
|Area Under the Curve and Integrals||Learn about summation nation, Riemann sums and how to use them, average value theorem, definite integrals, indefinite integrals as anti-derivatives, and linear properties of definite integrals. Learn to determine the arc length of a function and to explain the trapezoid rule.|
|Integration and Integration Techniques||Find out how to calculate the integrals of simple shapes, the indefinite integrals of polynomials, the integrals of trigonometric functions, and the integrals of exponential functions. See how to solve improper integrals and ways to use trigonometric substitutions to solve integrals.|
|Integration Applications||Explore the connection between integration and dynamic motion, and learn to determine simple areas with root finding and integration. See how to figure out volumes by using single integrals.|
|Differential Equations||Learn about differential notation in physics, separation of variables to solve system differential equations, and calculating rate and exponential growth. Study related rates through the draining tank problem and the distance between moving points problem.|
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What to Expect For the Exam
This Study.com course has been evaluated and recommended for college credit. Once you've completed this course, you can take the proctored final exam and potentially earn credit. Follow the steps below to take the exam.
Before taking the exam, all of the following requirements must be met:
|A College Accelerator Study.com membership.|
|Completed all lessons in Math 104: Calculus course and achieved 100% Quiz Progress.|
|Not attempted to take this exam within the last three days.|
|Have available proctored exams in this month of membership.|
|Have not taken this exam three times. (0/3)|
|Complete the exam readiness quiz.|
Please meet all of the pre-requirements in the Pre-Exam Checklist in order to take the exam.
Exam Process Details
1. Register For Exam
Registering for the exam is simple. First, be sure you meet the system requirements. Next, you'll need to agree to the academic integrity policy. Then just confirm your name and the exam name, and you're ready to go!
2. Download Software Secure
You'll receive an unique access code. Please write this down — you'll need it to take the exam. Then download Software Secure and follow the installation instructions.
3. Take Exam
The exam contains 50 - 100 multiple choice questions. You will have two hours to complete the exam, so don't start until you're sure you can complete the entire thing. And remember to pace yourself!
4. Get Exam Results
We will send you an email with your official exam results within 1 to 2 weeks. If you would like to raise your grade after receiving your exam results, you can retake quizzes with fewer than 3 attempts. You will then need to retake the final exam.
Earning College Credit
Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
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