Apply exponential functions to problems involving exponential growth or decay. Define a logarithm, convert between logarithmic and exponential form, and understand the inverse relationship between logarithmic and exponential functions. Use properties of logarithms to solve logarithmic equations and use logarithms in application problems. Solve simple non-linear systems of equations graphically. Students improve their listening skills by taking part in general class discussions and in small group activities.
Students improve their reading skills by reading and discussing the text and other materials.
Reading mathematics requires skills somewhat different from those used in reading materials for other courses, and these are discussed in class. Unit tests, examinations, and other assignments provide opportunities for students to practice and improve mathematical writing skills. Mathematics has a specialized vocabulary that students are expected to use correctly. In applications, students must analyze problems, often through the use of multiple representations, develop or select an appropriate mathematical model, utilize the model, and interpret results. Students must demonstrate proficiency in problem solving including applications of linear, quadratic, exponential, and logarithmic functions.