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MATH 1223 is a second course in calculus.  Together with MATH 1123 it forms a science-based introduction to calculus providing the foundation for continued studies in Life or Health sciences. By the end of the course, students will be able to:

• Apply the endpoint or midpoint rules to calculate finite Riemann sums
• Express definite integrals as limits of Riemann sums and vice-versa
• Apply the Fundamental Theorem of Calculus to definite and indefinite integrals
• Apply integration to calculate areas, volumes, arc length, average values and the net change in a function
• Evaluate integrals using substitution, integration by parts and partial fraction expansions
• Evaluate improper integrals and use the comparison test to establish their convergence or divergence
• Solve separable differential equations and apply differential equations to model populations and other Life Sciences phenomena 
• Determine the equilibrium solutions to differential equations and establish their stabiity
• Find partial derivatives of functions of several variables and apply them to solve optimization problems
• Establish the convergence or divergence of numerical sequences and series using the comparison, integral and ratio tests
• Express functions as power series
• Determine Taylor series representations of functions
• Determine Taylor polynomial approximations for functions and establish bounds on errors
• Apply matrix methods to dynamical systems in the Life sciences