Calculus I

Tahun Akademik:
Gasal 2025/2026
Kelas-Offr:
INT-AB04
Deskripsi:
This course covers essential topics in calculus focusing on real numbers, inequalities, limits, continuity, differentiation, optimization using derivatives, asymptotes in graphs, extrema points, concavity, and definite and indefinite integrals with substitution applications. Students will gain proficiency in understanding the concepts of real number systems, equations, inequalities, absolute values, coordinate planes, lines, distances, circles, and parabolas. They will also explore algebraic and transcendental functions, their domains, ranges, operations, graphs, and inverse functions. Emphasis is placed on practical applications of calculus in analyzing functions, determining limits, derivatives, integrals, and their applications in optimization and problem-solving scenarios.
Capaian Pembelajaran

• . Understand the real number system
• . Solve inequalities, determine domains, and ranges.
• Understand and compute function limits and determine continuity.
• Compute derivatives of functions.
• Compute derivatives of functions.
• . Plot graphs with asymptotes
• Use derivatives to determine extreme points, increasing/decreasing functions, and concavity
• Compute definite and indefinite integrals using substitution and their applications.

Daftar Pustaka:

• Anton, H. 2012. Calculus, Edisi 10. New York: John Wiley & Sons.
• Purcell, J.E., & Rigdon, S.E. 2006. Calculus, Edisi 9. New Jersey: Prentice-Hall.
• Stewart, J. 2012. Calculus, Edisi 7. Canada: Brooks/cole-Cengage Learning