Scott Surgent Teaching Professor, First Year Mathematics School of Mathematics and Statistical Sciences Arizona State University Tempe AZ 85287-1804 Office: ECA-208 Email: surgent at asu dot edu

MATH 267 Calculus for Engineers III SPRING 2026 SLN: 13175, T-Th 6:00-7:15pm, SS-229 (in person) SLN: 13321, Online (January 12 to March 3) VIDEOS Syllabus (in-person class) Syllabus (on-line class) Written Examples: Feedback is welcome, especially if you see an error. Powerpoints R^3 Coordinate System: Powerpoint • PDF Vectors: Powerpoint • PDF Dot Product & Projections: Powerpoint • PDF Cross Product: Powerpoint • PDF • YouTube video on Quaternions Lines & Planes: Powerpoint • PDF Vector Valued Functions: Powerpoint • PDF Arc Length, ds Segmentation: Powerpoint • PDF Projectile Motion: Powerpoint • PDF Multivariable Functions: Powerpoint • PDF Partial Differentiation: Powerpoint • PDF Tangent Planes: Powerpoint • PDF Chain Rule: Powerpoint • PDF Gradient: Powerpoint • PDF Optimization: Powerpoint • PDF Double Integrals I: Powerpoint • PDF Double Integrals II: Powerpoint • PDF Polar Integration: Powerpoint • PDF Triple Integrals: Powerpoint • PDF Cylindrical Coordinates: Powerpoint • PDF Spherical Coordinates: Powerpoint • PDF Vector Fields: Powerpoint • PDF Line Integrals: Powerpoint • PDF Fundamental Theorem of Line Integrals: Powerpoint • PDF Green's Theorem: Powerpoint • PDF Surface Area & Surface Integrals: Powerpoint • PDF Flux & Divergence Theorem: Powerpoint • PDF Quiz Keys . Test Keys . Multivariable Functions, Vectors, Dot & Cross Products Intro to Multi-var Functions Vectors, Dot Product and Projections, Cross Product and Scalar Triple Products, Work and Torque Derivation of the Dot Product formulas Proof of the Magnitude of a Cross Product Lines in R^3 Planes in R^3, Distances Vector-valued Functions with Differentiation, Integration, Arc Length, Unit Tangent, Unit Normal Vectors Curvature More on T, N, and the ds and dt segmentation Projectile Motion Test 1 Practice Problems Differentiation, Optimization, Tangent Planes, Gradients Level Curves & Contour Maps Partial Derivatives Chain Rule Directional Derivatives & The Gradient Directional Derivative and Gradient Practice Set Tangent Planes & Approximations, Differentials Tangent Planes Practice Set Unconstrained Optimization Constrained Optimization Optimization Practice Set Lagrange Multipliers Double & Triple Integration, Polar, Cylindrical and Spherical Coordinate Systems, Jacobians Riemann Sums over R^2, Rectangular Regions, Regions of Type I Regions of Type II & Polar Coordinates Triple Integrals & Cylindrical Coordinates Spherical Coordinates Polar, Cylindrical and Spherical Integrals Practice Jacobians The Volume Elements for Polar & Spherical Coordinates Test 2 Practice Problems Vector Fields, Line Integrals, Green's Theorem, Surface Integrals, Divergence Theorem, Stokes' Theorem Vector Fields Line Integrals Line Integrals Practice Flux Line Integrals Conservative Vector Fields and The Gradient, The Fundamental Theorem of Line Integrals Green's Theorem Green's Theorem Proof Surface Area General Surface Integrals Del Operator: Curl and Divergence Flux Through Solids; Divergence Theorem Flux Practice Divergence Theorem Proof Stokes Theorem Stokes Theorem Powerpoint • PDF Test 3 Practice Problems Book Details All of the above pages are collected into one book   MATH 251 Calculus for Life Sciences Spring 2026 :: SLN 13172 • Syllabus Lecture notes Week 1 (Jan 13 & 15) MATH 275 Introduction to Differential Equations • VIDEOS Cosine combined form Intro to Laplace Transforms Laplace Transforms of Step Functions Discontinuous Forcing Function Example Practice: Laplace Transforms using u-notation Complex Phase Diagram Classification of ODEs Separable & Integration Factors Mixture Problems Autonomic ODEs Numerical Methods: Euler's & Heun's Methods Higher Ordered ODEs Complex Solutions Repeated Roots Reduction of Order Undetermined Coefficients Spring-Mass Systems Intro to Laplace Transforms Solutions using Laplace Transforms Discontinuous Forcing Functions (u-notation) Laplace Transforms of Periodic Functions Laplace Transforms of Discontinuous Forcing Functions Impulse Forcing Functions Laplace Transforms: the derivative rule, the shift rule, the gamma function, and the f(ct) rule Determinants, Eigenvalues and Eigenvectors Systems of ODEs: real eigenvalues of multiplicity 1 Systems of ODEs: complex conjugate eigenvalues Systems of ODEs: Repeated eigenvalues Book Details All of the above pages are collected into one book   Other mathy things Magic Squares Exact Values for Sine and Cosine of Angles in Increments of 3 degrees Solving a Cubic Polynomial The Fibonacci Sequence and Binet's Formula The Slowest Possible Baseball Pitch The Birthday Problem Bobby Bonilla's Contract Explained   Other things My Personal Page