This class was tough.
Course Overview:
Yes, but this is a very tough course and necessary for study of finance
Course highlights:
derivatives are useful immediately, knowing anti-differentiation makes integration much more useful from the start
Hours per week:
6-8 hours
Advice for students:
Get help from the teacher assistants
This class was tough.
Course Overview:
If you take this class then you should have already taken a Calculus course in high school. I didn't and as a result I was extremely lost throughout.
Course highlights:
You go through A LOT of material and thus you obtain a lot of material that will be extremely helpful during following math courses at Carnegie Mellon.
Hours per week:
3-5 hours
Advice for students:
Print out the syllabus in the beginning of the semester and use it regularly!! Also, make sure you read the section before class and do the practice problems that the professor gives you for the exams!!
Pretty easy, overall.
Course Overview:
Even though I took BC Calculus during my senior year of high school, I am the type of person to forget EVERYTHING over the summer. This course really helped me refresh my memory and learn the same concepts in a new way and form! Russ Walker is a great and entertaining professor, so you'll never be bored! The work load is really manageable and the tests and quizzes are fair. Ten out of ten would recommend!
Course highlights:
There was never really a dull moment when learning the concepts in 21-120. The overview of the course is: * Composition of functions, the quadratic formula, and additional algebra basics * Limits and tangents * Exponential functions * Limit laws and the precise deﬁnition of a limit * Continuity and the Intermediate Value Theorem * Limits involving inﬁnity * Derivatives * Basic diﬀerentiation formulas * Diﬀerentiation formulas for the trigonometric functions and the Chain Rule * Implicit Diﬀerentiation * Related rates * Inverse trigonometric functions and their derivatives * Linear approximation and diﬀerentials * Derivatives of exponential and logarithmic functions and inverse functions * Logarithmic diﬀerentiation * Exponential growth and decay * Maximum and minimum values and the Mean Value Theorem * The Mean Value theorem * Derivatives and the shapes of curves * Indeterminate forms by L’Hospital’s Rule * Curve sketching * Optimization problems * Optimization and curve sketching problems * Antiderivatives, distances and areas * Evaluating deﬁnite integrals * The Fundamental Theorem of Calculus * Integration by substitution * Integration with inverse trigonometric functions * Integration by parts * Hyperbolic functions * Areas between curves * Volumes After completing this course, you should be able to: * Understand the concept of a continuous function and be able to apply the Intermediate Value Theorem. * Be able differentiate algebraic and transcendental functions. * Be able to determine the derivative of a basic function using the definition of derivative. * Be able to evaluate limits including indeterminate forms. * Be able to translate verbal descriptions of relationships into equations. * Be able to apply derivatives to graph a function, solve related rates problems, and solve applied extrema problems. * Know and understand the Mean Value Theorem and some of its basic applications. * Understand the definition of the definite integral as the limit of Riemann sums. * Be able to use the Fundamental Theorem of Calculus Part I to determine the derivative of a function defined as an antiderivative. *Be able to use the Fundamental Theorem of Calculus Part II to evaluate definite integrals involving algebraic and transcendental functions. * Be able to use the methods of substitution and integration by parts to determine antiderivatives. * Be able to apply the definite integral to calculate areas and volumes of revolution.
Hours per week:
3-5 hours
Advice for students:
* Effective note taking. Think in class, don't just take notes. It helps to go over your notes after class to identify what is important. Leave room to add details later. * Reading ahead. Lectures are important, but do not cover everything and can include only a sample of examples. You need to read the text. The schedule indicates sections to be covered, and you should read them before class. * Consistent effort. Distributing your effort is more effective than cramming before a test. * Doing problems. Do more than are assigned. Practice re-enforces understanding.