what coursework should I expect if I am to work for a bachelors degree in mechanical engineering?

Calculus & Differential Equations and beyond

Classical Physics

Statics and Dynamics

Strength Of Materials

Computer programming

Fluid Mechanics

Heat Transfer

Chemistry

Technical Writing

Most Engineering also require credits in Humanities and then you have your electives.

First two years, you will take the same courses most engineers take:

-General Electives like English/writing, history, art, economics, and physical education.

-Calc 1, Calc 2

-Chemistry 1 and 2 with labs

-Physics 1 and 2.

-Statics, Dynamics, and Strength of Materials.

-Intro to Engineering Design.

-Thermodynamics

In your last two years, you will take statistics and probabilities, manufacturing and machining courses, 3D modeling and CAD course, Calc 3-4, Physics 3-4, Technical Writing for engineers, senior capstone project, fluid mechanics, fluid dynamics, mechanical vibrations, and material science.

Statics, Dynamics, Strength of Materials, Mechanical mechanisms, Mechanical standards (gear shapes, etc.)

A lot of math and physics for scientists and engineers. (Math is the queen of science.)

READ THE UNIVERSITY CALENDER OUTLINE FOR EACH TERM HAS A FULL DETAIL ABOUT COURSES IN 4 YEARS.