数学
波士顿大学学院’s mathematics offerings have the broad goal of improving students’ comprehension of concepts, 过程流畅, capacity for logical thought and justification, as well as their inclination to see mathematics as sensible and useful. Along the way, we hope students will experience the elegance and beauty inherent to mathematics. In addition to mathematical concepts and skills, there is a strong emphasis on problem solving and effective and elegant written and oral communication. bbin娱乐平台 teachers strive to inspire the kind of intellectual excitement that leads to discovery and genuine problem solving.
高等代数
This course develops students’ algebraic skills through the study of standard families of functions, 包括线性, 二次, 一般多项式, 指数, 和对数函数. Special topics include mathematics needed for the study of Newtonian mechanics, 一些基本的数论, 和逻辑. Students are expected to present, critique, and discuss mathematical arguments.
MA25G:几何
This course leads students through a guided discovery and proof of many classical Euclidean theorems. 学生提出, 反驳, or accept conjectures and formulate rigorous, discursive proofs to confirm their conjectures. At the beginning of the course, some number theory is used as a vehicle to develop and justify basic proof techniques (such as direct, 矛盾, 对位, 和归纳证明).
MA70:微积分
This course eschews the traditional lecture format. It revisits the families of functions studied in MA25A from a more sophisticated point of view and includes systematic study of trigonometric functions, with an emphasis on their transcendental nature. Additional topics include combinatorics, discrete probability, and 序列与级数 of numbers. Emphasis is placed on problem solving; students are regularly faced with having to solve problems that they have no prior experience with. In addition, students are expected to present their solutions to the class.
微积分I
This course explores the mathematics of motion. It is an introduction to both differential and integral calculus, and their applications. The topics include the usual suspects: limits, computing instantaneous rates of change, optimization and other applications of the derivative, 定积分, the Fundamental Theorems of Calculus, and basic techniques of anti-differentiation. Students who complete this course will be prepared to take the Advanced Placement Calculus AB exam.
MA90: Calculus II (Fall Semester)
This course begins with a brief review of differential calculus and the basics of definite and indefinite integrals. 从那里, the course covers improper integrals, applications of definite integrals, 序列与级数, ordinary first-order and second-order differential equations, and systems of differential equations. Students who complete this course will be prepared to take the Advanced Placement Calculus BC exam.
MA95: Multivariable Calculus (Spring Semester)
This course extends the ideas covered in MA80 and MA90 to functions of two and three variables. After introducing functions of more than one variable, the course covers differentiation and integration of these functions, including optimization; parameterizations and vector fields; line and flux integrals; and calculus of vector fields.