微積分甲(二)

微積分甲(一)

Exams: • Quizzes(I-IV,40%): • Mar. 13(Friday), Mar. 27(Friday), May 8(Friday), May29(Friday), Room SC151 • Midterm(30%): Apr. 17(Friday), Room SC151 • Final (30%): Jun.10(Wednesday), 15:30--17:30 Grading: Quizzes(40)+Midterm(30)+Final(30)+Extra(6) Syllabus: (◆ 標示之章節不列入微積分會考範圍) 10. Parametric Equations and Polar Coordinates – 2 hours 10.3 Polar Coordinates 10.4 Calculus in Polar Coordinates 11. Sequences, Series, and Power Series – 15 hours 11.1 Sequences 11.2 Series 11.3 The Integral Test and Estimates of Sums 11.4 The Comparison Tests 11.5 Alternating Series and Absolute Convergence 11.6 The Ratio and Root Tests 11.7 Strategy for Testing Series 11.8 Power Series 11.9 Representations of Functions as Power Series 11.10 Taylor and Maclaurin Series ◆ 11.11 Applications of Taylor Polynomials 14. Partial Derivatives -- 16 hours 14.1 Functions of Several Variables 14.2 Limits and Continuity 14.3 Partial Derivatives 14.4 Tangent Planes and Linear Approximations 14.5 The Chain Rule 14.6 Directional Derivatives and the Gradient Vector 14.7 Maximum and Minimum Values 14.8 Lagrange Multipliers 15. Multiple Integrals -- 11 hours 15.1 Double Integrals over Rectangles 15.2 Double Integrals over General Regions 15.3 Double Integrals in Polar Coordinates ◆ 15.4 Application of Double Integrals 15.5 Surface Area 15.6 Triple Integrals (◆ The center of mass in Applications of Triple integrals) 15.7 Triple Integrals in Cylindrical Coordinates 15.8 Triple Integrals in Spherical Coordinates 15.9 Change of Variables in Multiple Integrals

• Ch10. Parametric Equations and Polar Coordinates
• Ch11. Sequences, Series, and Power Series (◆部分為選教)
• ◆ Ch12. Vectors and the Geometry of Space (◆部分為選教)
• ◆ Ch13. Vector Functions (◆部分為選教)
• Ch14. Partial Derivatives
• Ch15. Multiple Integrals (◆部分為選教)
• ◆ Ch16. Vector Calculus (◆部分為選教)

Calculus(Early Transcendentals), James Stewart, 9th Edition