Limits, continuity, the derivative, rules of differentiation, exponential and logarithmic functions, related rates and other applications.

Applications of the derivative, extrema, curve sketching, definite and indefinite integrals, applications of the integral.

Techniques of integration, L'Hopital's rule, improper integrals, series and sequence Taylor polynomials.

Limits, continuity, the derivative, rules of differentiation, and applications, with precalculus review included for each topic. The full MAT 147-8-9 sequence will cover all the material of MAT 150-1-2 plus additional precalculus material.

This course concerns theoretical concepts and empirical research relating to administrative behavior in organizations with special reference to educational organizations. Concepts are examined within the typical decisional framework of supervisors, chief school business officers, principles, and superintendents, and similar positions in the helping professions. Assignments are individualized.

Limits, continuity, the derivative, rules of differentiation, exponential and logarithmic functions, related rates and other applications. Course meets for an additional 1.5 hour lab session each week in order to cover the material in greater depth. Students considering a math major are advised to take the 160 or 170 sequence.

Applications of the derivative, extrema, curve sketching, definite and indefinite integrals, applications of the integral. Course meets for an additional 1.5 hour lab session each week in order to cover the material in greater depth.

Techniques of integration, L'Hopital's rule, improper integrals, series and sequences, Taylor polynomials. Course meets for an additional 1.5 hour lab session each week in order to cover the material in greater depth.

The course will cover the following topics using examples from the sciences: Functions as models, logarithmic scale graphing, exponential growth and decay, difference equations and limits of sequences, geometric series, functions and limits, trigonometric functions and their limits, continuity, limits at infinity, the derivative, differentiation rules, derivatives of trigonometric and exponential functions, related rates, derivatives of inverse and logarithm functions. Course meets for an additional lab session each week during which time students will work on applied mathematics projects based on the topics covered in the course. Students majoring in the sciences should consult with their major department to decide between the 160 and 170 sequences.

This course is designed for students in the life sciences and covers some topics from MAT 152, differential equations and an introduction to the Calculus of functions of several variables. Specific topics are as follows. Numerical integration, partial fraction expansions, Taylor approximations of a function, differential equations, separation of variables, slope fields, Euler's existence theorem, polygonal approximations to solutions of differential equations, the logistic equation and allometric growth models, equilibiria of differential equations and their stability, applications of stability theory, functions of several variables, partial derivatives, directional derivative and the gradient. Course meets for an additional lab session each week during which time students will work on applied mathematics projects based on the topics covered in the course. PREREQUISITE(S): MAT 151 or MAT 161or MAT 171.

Vectors in 2-space and 3-space, vector-valued functions, cylindrical and spherical coordinates, multivariable functions, partial differentiation with applications to extrema.

Multiple integration, line and surface integrals, change of variable in multiple integration, Green's and Stokes' theorems.

Systems of linear equations and matrices; vectors in n-space; vector spaces: linear combinations, linear independence, basis; linear transformations, change of basis, eigenvalues and eigenvectors.

An introduction to basic concepts and techniques used in higher is mathematics courses: set theory, equivalence relations, functions, cardinality, techniques of proof in mathematics. The emphasis on problem solving and proof construction by students. The department recommends that students take this course no later than the spring quarter of the sophomore year.

Combinatorics, graph theory, propositional logic, singly-quantified statements, operational knowledge of set theory, functions, number systems, methods of direct and indirect proof.

Methods of direct and indirect proof, set theoretic proofs, sequences, mathematical induction, recursion, multiply-quantified statements, relations and functions, complexity.

An introduction to problem solving, algorithms and structured programming using a higher-level programming language. The course will focus on skills for developing algorithms, and for writing and debugging programs. Students will learn how and when to use loops, conditionals, and functional abstractions in the context of problems motivated by real world applications. PREREQUISITE(S): MAT 130 or Mathematics Diagnostic Test placement into MAT 140.

Extrema, curve sketching, related rates, definite and indefinite integrals, applications of the integral, exponential and logarithmic functions, with precalculus review included for each topic.

Techniques of integration, L'Hopital's rule, improper integrals, Taylor polynomials, series and sequences, first-order differential equations, with precalculus review included for each topic.

The course will cover the following topics using examples from the sciences: Applications of the derivative including approximation and local linearity, differentials, extrema and the Mean Value Theorem, monotonicity and concavity, extrema, inflection points, graphing, L'Hospital's Rule, optimization, and the Newton-Raphson method, antiderivaties, the definite integral, Riemann sums, the Fundamental Theorem of Calculus, area, cumulative change, average value of a function, and techniques of integration: substitution rule and integration by parts. Course meets for an additional lab session each week during which time students will work on applied mathematics projects based on the topics covered in the course.