University of Illinois at Chicago's Math 180 class covers Calculus I. The course is a requirement to earn a Bachelor of Science degree in mathematics, the teaching of mathematics or mathematics and computer science. It is also required for minor degrees in mathematics or mathematics and computer science.
Continue ReadingThe Math 180 Calculus I UIC course uses chapters 2 to 5 in the textbook "Calculus: Early Transcendentals" by William Briggs and Lyle Cochran. The second chapter covers the ideas, definitions and techniques for computing limits. The third chapter discusses differentiation, product and quotient rules, the chain rule, and derivatives of trigonometric functions, inverse trigonometric functions and logarithmic and exponential functions. The fourth chapter further discusses derivatives, as well as maxima and minima, graphing functions, optimization problems, linear approximation and differentials, the mean value theorem, L'Hopital's rule and anti-derivatives. The fifth chapter covers approximating areas under curves, definite integrals, the fundamental theorem of calculus, working with integrals and the substitution rule.
Students are expected to read chapters of the textbook before attending the class meetings. Both written and online homework is assigned. To access online homework, students need to create a MyMathLab account. Though basic calculators are required for some homework assignments, they are not allowed during exams. The final grade is a combination of points from homework, quizzes, hour-long exams and the final exam.
Learn more about CalculusCalculus is hard, and the level of difficulty depends on the individual student. A student who is not well-versed in the prerequisites for calculus may find the subject more difficult than someone who has strong mathematical preparation.
Full Answer >Dr. Gregory McColm of University of South Florida advises that beginning calculus students have a strong mathematical background and study for about 10 to 15 hours outside class. He also advises calculus students to take the examples given in class seriously and always read ahead of the lecturer before classes. Students must never miss classes unless they are seriously ill, advises Dr. Mike Sullivan of Southern Illinois University Carbondale.
Full Answer >The class midpoint, or class mark, is calculated by adding the lower and upper limits of the class and dividing by two. The class midpoint is sometimes used as a representation of the entire class.
Full Answer >A nonlinear function in math creates a graph that is not a straight line, according to Columbia University. Three nonlinear functions commonly used in business applications include exponential functions, parabolic functions and demand functions. Quadratic functions are common nonlinear equations that form parabolas on a two-dimensional graph.
Full Answer >